Advertisement
| mathematical theory of black holes chandrasekhar: The Mathematical Theory of Black Holes Subrahmanyan Chandrasekhar, 1998 The theory of black holes is the most simple consequence of Einstein's relativity theory. Dealing with relativity theory, this book details one of the most beautiful areas of mathematical physics; the theory of black holes. It represents a personal testament to the work of the author, who spent several years working-out the subject matter.--WorldCat. |
| mathematical theory of black holes chandrasekhar: General Relativity and Gravitation B. Bertotti, F. de Felice, Alessandro Pascolini, 1984-09-30 The Tenth International Conference on General Relativity and Gravitation (GR10) was held from July 3 to July 8, 1983, in Padova, Italy. These Conferences take place every three years, under the auspices of the International Society on General Relativity and Gravitation, with the purpose of assessing the current research in the field, critically discussing the prog ress made and disclosing the points of paramount im portance which deserve further investigations. The Conference was attended by about 750 scientists active in the various subfields in which the current research on gravitation and general relativity is ar ticulated, and more than 450 communications were sub mitted. In order to fully exploit this great occur rence of experience and creative capacity, and to pro mote individual contributions to the collective know ledge, the Conference was given a structure of work shops on the most active topics and of general sessions in which the Conference was addressed by invited speakers on general reviews or recent major advance ments of the field. The individual communications were collected in a two-volume publication made available to the participants upon their arrival and widely distributed to Scientific Institutions and Research Centres. |
| mathematical theory of black holes chandrasekhar: From White Dwarfs to Black Holes G. Srinivasan, 2000-05-15 From White Dwarfs to Black Holes chronicles the extraordinarily productive scientific career of Subrahmanyan Chandrasekhar, one of the twentieth century's most distinguished astrophysicists. Among Chandrasekhar's many discoveries were the critical mass that makes a star too massive to become a white dwarf and the mathematical theory of black holes. In 1983 he shared the Nobel Prize for Physics for these and other achievements. Over the course of more than six decades of active research Chandrasekhar investigated a dizzying array of subjects. G. Srinivasan notes in the preface to this book that the range of Chandra's contributions is so vast that no one person in the physics or astronomy community can undertake the task of commenting on his achievements. Thus, in this collection, ten eminent scientists evaluate Chandrasekhar's contributions to their own fields of specialization. Donald E. Osterbrock closes the volume with a historical discussion of Chandrasekhar's interactions with graduate students during his more than quarter century at Yerkes Observatory. Contributors are James Binney, John L. Friedman, Norman R. Lebovitz, Donald E. Osterbrock, E. N. Parker, Roger Penrose, A. R. P. Rau, George B. Rybicki, E. E. Salpeter, Bernard F. Schutz, and G. Srinivasan. |
| mathematical theory of black holes chandrasekhar: Introduction to Black Hole Physics Valeri P. Frolov, Andrei Zelnikov, 2011-09-22 What is a black hole? How many of them are in our Universe? Can black holes be created in a laboratory or in particle colliders? Can objects similar to black holes be used for space and time travel? This book discusses these and many other questions providing the reader with the tools required to explore the Black Hole Land independently. |
| mathematical theory of black holes chandrasekhar: Newton's Principia for the Common Reader Subrahmanyan Chandrasekhar, 2003 Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravitation. It is very much more than a demonstration that 'to us it is enough that gravity really does exist and act according to the laws which we have explained and abundantly serves to account for all the motions of the celestial bodies and the sea'. It is important to us as a model of all mathematical physics.Representing a decade's work from a distinguished physicist, this is the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Professor Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law of gravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty, clarity, and breath-taking economy of Newton's methods.Subrahmanyan Chandrasekhar is one of the most reknowned scientists of the twentieth century, whose career spanned over 60 years. Born in India, educated at the University of Cambridge in England, he served as Emeritus Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics at the University of Chicago, where he has was based from 1937 until his death in 1996. His early research into the evolution of stars is now a cornerstone of modern astrophysics, and earned him the Nobel Prize for Physics in 1983. Later work into gravitational interactions between stars, the properties of fluids, magnetic fields, equilibrium ellipsoids, and black holes has earned him awards throughout the world, including the Gold Medal from the Royal Astronomical Society in London (1953), the National Medal of Science in the United States (1966), and the Copley Medal from the Royal Society (1984). His many publications include Radiative transfer (1950), Hydrodynamic and hydromagnetic stability (1961), and The mathematical theory of black holes (1983), each being praised for its breadth and clarity. Newton's Principia for the common reader is the result of Professor Chandrasekhar's profound admiration for a scientist whose work he believed is unsurpassed, and unsurpassable. |
| mathematical theory of black holes chandrasekhar: Black Hole Uniqueness Theorems Markus Heusler, 1996-07-25 A self-contained introduction to the mathematical theory of black holes. |
| mathematical theory of black holes chandrasekhar: Radiative Transfer Subrahmanyan Chandrasekhar, 2013-04-15 This book by a Nobel Laureate provides the foundation for analysis of stellar atmospheres, planetary illumination, and sky radiation. Suitable for students and professionals in physics, nuclear physics, astrophysics, and atmospheric studies. 1950 edition. |
| mathematical theory of black holes chandrasekhar: Black Holes Kip S. Thorne, Kirk S. Thorne, Richard H. Price, Douglas A. MacDonald, 1986-01-01 A pedagogical introduction to the physics of black holes. The membrane paradigm represents the four-dimensional spacetime of the black hole's event horizon as a two-dimensional membrane in three-dimensional space, allowing the reader to understand and compute the behavior of black holes in complex astrophysical environments. |
| mathematical theory of black holes chandrasekhar: The Geometry of Kerr Black Holes Barrett O'Neill, 2014-01-15 Suitable for advanced undergraduates and graduate students of mathematics as well as for physicists, this unique monograph and self-contained treatment constitutes an introduction to modern techniques in differential geometry. 1995 edition. |
| mathematical theory of black holes chandrasekhar: Black Holes and Time Warps Kip S Thorne, 1994 In this masterfully written and brilliantly informed work, Dr. Rhorne, the Feynman Professor of Theoretical Physics at Caltech, leads readers through an elegant, always human, tapestry of interlocking themes, answering the great question: what principles control our universe and why do physicists think they know what they know? Features an introduction by Stephen Hawking. |
| mathematical theory of black holes chandrasekhar: Quest For Perspectives: Selected Works Of S Chandrasekhar, A (With Commentary) (In 2 Vols) Kameshwar C Wali, 2001-09-07 This invaluable book presents selected papers of S Chandrasekhar, co-winner of the Nobel Prize for Physics in 1983 and a scientific giant well known for his prolific and monumental contributions to astrophysics, physics and applied mathematics. The reader will find here most of Chandrasekhar's articles that led to major developments in various areas of physics and astrophysics. There are also articles of a popular and historical nature, as well as some hitherto unpublished material based on Chandrasekhar's talks at conferences. Each section of the book contains annotations by the editor. |
| mathematical theory of black holes chandrasekhar: Galileo Unbound David D. Nolte, 2018-07-12 Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once -- setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world. |
| mathematical theory of black holes chandrasekhar: A Relativist's Toolkit Eric Poisson, 2004-05-06 This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field. |
| mathematical theory of black holes chandrasekhar: Selected Papers, Volume 7 Subrahmanyan Chandrasekhar, 1997-06-09 In these selections readers are treated to a rare opportunity to see the world through the eyes of one of the twentieth century's most brilliant and sensitive scientists. Conceived by Chandrasekhar as a supplement to his Selected Papers, this volume begins with eight papers he wrote with Valeria Ferrari on the non-radial oscillations of stars. It then explores some of the themes addressed in Truth and Beauty, with meditations on the aesthetics of science and the world it examines. Highlights include: The Series Paintings of Claude Monet and the Landscape of General Relativity, The Perception of Beauty and the Pursuit of Science, On Reading Newton's Principia at Age Past Eighty, and personal recollections of Indira Gandhi, Jawaharlal Nehru, and others. Selected Papers, Volume 7 paints a picture of Chandra's universe, filled with stars and galaxies, but with space for poetics, paintings, and politics. The late S. Chandrasekhar was best known for his discovery of the upper limit to the mass of a white dwarf star, for which he received the Nobel Prize in Physics in 1983. He was the author of many books, including The Mathematical Theory of Black Holes and, most recently, Newton's Principia for the Common Reader. |
| mathematical theory of black holes chandrasekhar: The Mathematical Theory of Black Holes Subrahmanyan Chandrasekhar, 1983 This volume has become one of the modern classics of relativity theory. When it was written in 1983 there was little physical evidence for the existence of black holes. Recent discoveries have only served to underscore the elegant theory developed here, and the book remains one of the cleareststatements of the relevant mathematics. |
| mathematical theory of black holes chandrasekhar: Eddington Subrahmanyan Chandrasekhar, 1983-11-24 This book is based on two lectures given in Cambridge by Professor Chandrasckhar to mark the centenary of the birth of Arthur Stanley Eddington. The text describes Eddington's major contributions to astrophysics and to general relativity. The approach is not technical, although it will mainly be of interest to professionals in astronomy, applied mathematics and the history of modern astronomy. |
| mathematical theory of black holes chandrasekhar: Artificial Black Holes M. Novello, 2002 Physicists are pondering on the possibility of simulating black holes in the laboratory by means of various OC analog modelsOCO. These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein''s gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters OCo written by experts in general relativity, particle physics, and condensed matter physics OCo that explore various aspects of this two-way traffic. |
| mathematical theory of black holes chandrasekhar: Introduction to General Relativity, Black Holes, and Cosmology Yvonne Choquet-Bruhat, 2015 A precise yet simple introduction to the foundations and main consequences of General Relativity. The first five chapters from Choquet-Bruhat's General Relativity and the Einstein Equations (2008) have been updated with new sections and chapters on black holes, gravitational waves, singularities and more to form this textbook. |
| mathematical theory of black holes chandrasekhar: Selected Papers, Volume 6 Subrahmanyan Chandrasekhar, 1991-04-09 This is the first of six volumes collecting significant papers of the distinguished astrophysicist and Nobel laureate S. Chandrasekhar. His work is notable for its breadth as well as for its brilliance; his practice has been to change his focus from time to time to pursue new areas of research. The result has been a prolific career full of discoveries and insights, some of which are only now being fully appreciated. Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area. |
| mathematical theory of black holes chandrasekhar: Physics of Black Holes Eleftherios Papantonopoulos, 2009-01-28 Black Holes are still considered to be among the most mysterious and fascinating objects in our universe. Awaiting the era of gravitational astronomy, much progress in theoretical modeling and understanding of classical and quantum black holes has already been achieved. The present volume serves as a tutorial, high-level guided tour through the black-hole landscape: information paradox and blackhole thermodynamics, numerical simulations of black-hole formation and collisions, braneworld scenarios and stability of black holes with respect to perturbations are treated in great detail, as is their possible occurrence at the LHC. An outgrowth of a topical and tutorial summer school, this extensive set of carefully edited notes has been set up with the aim of constituting an advanced-level, multi-authored textbook which meets the needs of both postgraduate students and young researchers in the fields of modern cosmology, astrophysics and (quantum) field theory. |
| mathematical theory of black holes chandrasekhar: Gravitation in Astrophysics B. Carter, J.B. Hartle, 2011-10-19 With the discovery of pulsars, quasars, and galactic X-ray sources in the late 60's and early 70's, and the coincident expansion in the search for gravitational waves, rela tivistic gravity assumed an important place in the astrophysics of localized objects. Only by pushing Einstein's solar-system-tested general theory of relativity to the study of the extremes of gravitational collapse and its outcomes did it seem that one could explain these frontier astronomical phenomena. This conclusion continues to be true today. Relativistic gravity had always played the central role in cosmology. The discov ery of the cosmic background radiation in 1965, the increasing understanding of matter physics at high energies in the decades following, and the growing wealth of observations on the large scale structure meant that it was possible to make increasingly detailed mod els of the universe, both today and far in the past. This development, not accidentally, was contemporary to that for localized objects described above. |
| mathematical theory of black holes chandrasekhar: Black Holes, White Dwarfs, and Neutron Stars Stuart L. Shapiro, Saul A. Teukolsky, 2008-11-20 This self-contained textbook brings together many different branches of physics--e.g. nuclear physics, solid state physics, particle physics, hydrodynamics, relativity--to analyze compact objects. The latest astronomical data is assessed. Over 250 exercises. |
| mathematical theory of black holes chandrasekhar: Black Hole Physics V. Frolov, I. Novikov, 2012-12-06 It is not an exaggeration to say that one of the most exciting predictions of Einstein's theory of gravitation is that there may exist black holes: putative objects whose gravitational fields are so strong that no physical bodies or signals can break free of their pull and escape. The proof that black holes do exist, and an analysis of their properties, would have a significance going far beyond astrophysics. Indeed, what is involved is not just the discovery of yet another even if extremely remarkable, astro physical object, but a test of the correctness of our understanding of the properties of space and time in extremely strong gravitational fields. Theoretical research into the properties of black holes, and into the possible corol laries of the hypothesis that they exist, has been carried out with special vigor since the beginning of the 1970's. In addition to those specific features of black holes that are important for the interpretation of their possible astrophysical manifestations, the theory has revealed a number of unexpected characteristics of physical interactions involving black holes. By the middle of the 1980's a fairly detailed understanding had been achieved of the properties of the black holes, their possible astrophysical manifestations, and the specifics of the various physical processes involved. Even though a completely reliable detection of a black hole had not yet been made at that time, several objects among those scrutinized by astrophysicists were considered as strong candidates to be confirmed as being black holes. |
| mathematical theory of black holes chandrasekhar: Chandra Kameshwar C. Wali, 1991 Chandra is an intimate portrait of a highly private and brilliant man, Subrahmanyan Chandrasekhar, a Nobel laureate in physics who has been a major contributor to the theories of white dwarfs and black holes. Wali has given us a magnificent portrait of Chandra, full of life and color, with a deep understanding of the three cultures—Indian, British, and American—in which Chandra was successively immersed. . . . I wish I had the job of reviewing this book for the New York Times rather than for Physics Today. If the book is only read by physicists, then Wali's devoted labors were in vain.—Freeman Dyson, Physics Today An enthralling human document.—William McCrea, Times Higher Education Supplement A dramatic, exuberant biography of one of the century's great scientists.—Publishers Weekly |
| mathematical theory of black holes chandrasekhar: Black Holes, Cosmology And Extra Dimensions (Second Edition) Kirill A Bronnikov, Sergey G Rubin, 2021-06-29 Assuming basic knowledge of special and general relativity, this book guides the reader to problems under consideration in modern research, concerning black holes, wormholes, cosmology, and extra dimensions. Its first part is devoted to local strong field configurations (black holes and wormholes) in general relativity and its most relevant extensions: scalar-tensor, f(R), and multidimensional theories. The second part discusses cosmology, including inflation and problems of a unified description of the whole evolution of the universe. The third part concerns multidimensional theories of gravity and contains a number of original results obtained by the authors. Expository work is conducted for a mechanism of symmetries and fundamental constants formation. The original approach to nonlinear multidimensional gravity that is able to construct a unique perspective describing different phenomena is highlighted.Much of the content was previously presented only in journal publications and is new for book contents, e.g., on regular black holes, various scalar field solutions, wormholes and their stability, inflation, clusters of primordial black holes, and multidimensional gravity. The last two topics are added in this new edition of the book. The other chapters are also updated to include new discoveries like the detection of gravitational waves. |
| mathematical theory of black holes chandrasekhar: Dragon's Egg Robert L. Forward, 2011-02-16 “In science fiction there is only a handful of books that stretch the mind—and this is one of them.”—Arthur C. Clarke In a moving story of sacrifice and triumph, human scientists establish a relationship with intelligent lifeforms—the cheela—living on Dragon’s Egg, a neutron star where one Earth hour is equivalent to hundreds of their years. The cheela culturally evolve from savagery to the discovery of science, and for a brief time, men are their diligent teachers. Praise for Dragon’s Egg “Bob Forward writes in the tradition of Hal Clement’s Mission of Gravity and carries it a giant step (how else?) forward.”—Isaac Asimov “Dragon’s Egg is superb. I couldn’t have written it; it required too much real physics.”—Larry Niven “This is one for the real science-fiction fan.”—Frank Herbert “Robert L. Forward tells a good story and asks a profound question. If we run into a race of creatures who live a hundred years while we live an hour, what can they say to us or we to them?”—Freeman J. Dyson “Forward has impeccable scientific credentials, and . . . big, original, speculative ideas.”—The Washington Post |
| mathematical theory of black holes chandrasekhar: A Physicists Introduction to Algebraic Structures Palash B. Pal, 2019-05-23 Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections. |
| mathematical theory of black holes chandrasekhar: The Mathematical Theory of Black Holes Subrahmanyan Chandrasekhar, 1992 Now in paperback, this book by Nobel prizewinner S. Chandrasekhar, is devoted to the mathematical theory of the space-times surrounding the black holes of nature. Since the general theory of relativity provides a single unique family of solutions (the Kerr family) for black holes, the subject is mathematically a very well defined one. Besides, the analysis discloses a richness rarely encountered in mathematical physics. A preliminary chapter provides the basic mathematical tools. The principal chapters deal with the Schwarzchild solution describing static spherically symmetric black holes. The geometry of these space-times is analysed in terms of their geodesics. A particular feature of the book is the collection of illustrations exhibiting the various classes of geodesics. |
| mathematical theory of black holes chandrasekhar: Lectures on Quantum Mechanics Steven Weinberg, 2013 Ideally suited to a one-year graduate course, this textbook is also a useful reference for researchers. Readers are introduced to the subject through a review of the history of quantum mechanics and an account of classic solutions of the Schr. |
| mathematical theory of black holes chandrasekhar: A Scientific Autobiography Kameshwar C. Wali, 2011 S. Chandrasekhar, popularly known as Chandra, was one of the foremost scientists of the 20th century. The year 2010 marks the birth centenary of Chandra. His unique style of research, inward bound, seeking a personal perspective to master a particular field, and then pass on to another was so unique that it will draw considerable interest and attention among scholars. As Chandra elucidates in the preface, the various installments describe in detail the evolution of my scientific work during the past forty years and records each investigation, describing the doubts and the successes, the trials and the tribulations. And the parts my various associates and assistants played in the completion of the different investigations are detailed. It is indeed a remarkable and rare document, fascinating to read and experience the joys, frustrations and struggles of a creative mind. In addition, a compilation of selected correspondence, which includes his correspondence with his father, some family members and other well-known scientists of the 20th century, will provide an interesting insight into the life of an extraordinary scientist. |
| mathematical theory of black holes chandrasekhar: Mathematical Introduction To General Relativity, A (Second Edition) Amol Sasane, 2024-12-20 The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences.In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related.In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe. Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to all the 283 exercises are included.The second edition corrects errors from the first edition, and includes 60 new exercises, 10 new remarks, 29 new figures, some of which cover auxiliary topics that were omitted in the first edition. |
| mathematical theory of black holes chandrasekhar: The Mathematical Theory of Black Holes Chandrasekhar, 1993 |
| mathematical theory of black holes chandrasekhar: General Relativity and Gravitation B. Bertotti, F. de Felice, Alessandro Pascolini, 2012-12-06 The Tenth International Conference on General Relativity and Gravitation (GR10) was held from July 3 to July 8, 1983, in Padova, Italy. These Conferences take place every three years, under the auspices of the International Society on General Relativity and Gravitation, with the purpose of assessing the current research in the field, critically discussing the prog ress made and disclosing the points of paramount im portance which deserve further investigations. The Conference was attended by about 750 scientists active in the various subfields in which the current research on gravitation and general relativity is ar ticulated, and more than 450 communications were sub mitted. In order to fully exploit this great occur rence of experience and creative capacity, and to pro mote individual contributions to the collective know ledge, the Conference was given a structure of work shops on the most active topics and of general sessions in which the Conference was addressed by invited speakers on general reviews or recent major advance ments of the field. The individual communications were collected in a two-volume publication made available to the participants upon their arrival and widely distributed to Scientific Institutions and Research Centres. |
| mathematical theory of black holes chandrasekhar: Exact Space-Times in Einstein's General Relativity Jerry B. Griffiths, Jiří Podolský, 2009-10-15 Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics. |
| mathematical theory of black holes chandrasekhar: Global Aspects in Gravitation and Cosmology Pankaj S. Joshi, 1996 Basic to the entire theory and applications of black hole physics Global Aspects in Gravitation and Cosmology covers the topics needed to understand the current key issues in gravitation theory: cosmology and black holes. Emphasized is the basic theme that the very nature of the gravitationalfield is such that global features of space-time inevitably come into play whenever we try to understand and interpret this force in detail. After discussing the fundamental role played by global considerations in gravity and general relativity, Joshi points out the significant problems that remain.The key problem of which been the issue of quantum effects in strong gravity fields, an understanding of which is essential to formulate any quantum theory of gravity. This book will be beneficial to mathematicians and physicists. |
| mathematical theory of black holes chandrasekhar: The Animate and the Inanimate William James Sidis, 1925 |
| mathematical theory of black holes chandrasekhar: Scattering from Black Holes J. A. H. Futterman, F. A. Handler, Richard Alfred Matzner, 2009-06-11 This book investigates the propagation of waves in the presence of black holes. Astrophysical black holes may eventually be probed by these techniques. The authors emphasise intuitive physical thinking in their treatment of the techniques of analysis of scattering, but alternate this with chapters on the rigourous mathematical development of the subject. High and low energy limiting cases are treated extensively and semi-classical results are also obtained. The analogy between Newtonian gravitational scattering and Coulomb quantum mechanical scattering is fully exploited. The book introduces the concepts of scattering by considering the simplest, scalar wave case of scattering by a spherical black hole. It then develops the formalism of spin-weighted spheroidal harmonics and of plane wave representations for neutrino, electromagnetic and gravitational scattering. Research workers and graduate and advanced undergraduate students in scattering theory, wave propagation and relativity will find this a comprehensive treatment of the topic. |
| mathematical theory of black holes chandrasekhar: Tensor Geometry C. T. J. Dodson, Timothy Poston, 2013-04-17 This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebra. |
| mathematical theory of black holes chandrasekhar: A First Course in General Relativity Bernard F. Schutz, 1985-01-31 This textbook develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. |
| mathematical theory of black holes chandrasekhar: Problem Book in Relativity and Gravitation Alan P Lightman, William H. Press, Richard H. Price, Saul A. Teukolsky, 2017-09-01 An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity. |
Mathematics - Wikipedia
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
Wolfram Mathematica: Modern Technical Computing
Mathematica is built to provide industrial-strength capabilities—with robust, efficient algorithms across all areas, capable of handling large-scale problems, with parallelism, GPU computing and …
Mathematics | Definition, History, & Importance | Britannica
Apr 30, 2025 · mathematics, the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with …
Wolfram MathWorld: The Web's Most Extensive Mathematics …
May 22, 2025 · Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.
Wolfram|Alpha: Computational Intelligence
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, …
MATHEMATICAL Definition & Meaning - Merriam-Webster
The meaning of MATHEMATICAL is of, relating to, or according with mathematics. How to use mathematical in a sentence.
Mathematics - Encyclopedia of Mathematics
Mar 30, 2012 · In the 17th century new questions in natural science and technology compelled mathematicians to concentrate their attention on the creation of methods to allow the …
MATHEMATICAL | English meaning - Cambridge Dictionary
mathematical formula The researchers used a mathematical formula to calculate the total population number. mathematical problem It was a mathematical problem that he could not …
Mathematical - definition of mathematical by The Free Dictionary
mathematical - of or pertaining to or of the nature of mathematics; "a mathematical textbook"; "slide rules and other mathematical instruments"; "a mathematical solution to a problem"; …
What is Mathematics? – Mathematical Association of America
Math is about getting the right answers, and we want kids to learn to think so they get the right answer. My reaction was visceral and immediate. “This is wrong. The emphasis needs to be on …
Mathematics - Wikipedia
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
Wolfram Mathematica: Modern Technical Computing
Mathematica is built to provide industrial-strength capabilities—with robust, efficient algorithms across all areas, capable of handling large-scale problems, with parallelism, GPU computing …
Mathematics | Definition, History, & Importance | Britannica
Apr 30, 2025 · mathematics, the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with …
Wolfram MathWorld: The Web's Most Extensive Mathematics …
May 22, 2025 · Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.
Wolfram|Alpha: Computational Intelligence
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, …
MATHEMATICAL Definition & Meaning - Merriam-Webster
The meaning of MATHEMATICAL is of, relating to, or according with mathematics. How to use mathematical in a sentence.
Mathematics - Encyclopedia of Mathematics
Mar 30, 2012 · In the 17th century new questions in natural science and technology compelled mathematicians to concentrate their attention on the creation of methods to allow the …
MATHEMATICAL | English meaning - Cambridge Dictionary
mathematical formula The researchers used a mathematical formula to calculate the total population number. mathematical problem It was a mathematical problem that he could not …
Mathematical - definition of mathematical by The Free Dictionary
mathematical - of or pertaining to or of the nature of mathematics; "a mathematical textbook"; "slide rules and other mathematical instruments"; "a mathematical solution to a problem"; …
What is Mathematics? – Mathematical Association of America
Math is about getting the right answers, and we want kids to learn to think so they get the right answer. My reaction was visceral and immediate. “This is wrong. The emphasis needs to be …
