The Mathematical Theory Of Black Holes

Author : Subrahmanyan Chandrasekhar
Publisher : Oxford University Press
Page : 676 pages
File Size : 50,6 Mb
Release : 1998
Category : Science
ISBN : 0198503709

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The Mathematical Theory of Black Holes by Subrahmanyan Chandrasekhar Pdf

Part of the reissued Oxford Classic Texts in the Physical Sciences series, this book was first published in 1983, and has swiftly become one of the great modern classics of relativity theory. It represents a personal testament to the work of the author, who spent several years writing and working-out the entire subject matter. The theory of black holes is the most simple and beautiful consequence of Einstein's relativity theory. At the time of writing there was no physical evidence for the existence of these objects, therefore all that Professor Chandrasekhar used for their construction were modern mathematical concepts of space and time. Since that time a growing body of evidence has pointed to the truth of Professor Chandrasekhar's findings, and the wisdom contained in this book has become fully evident.

Author : Subrahmanyan Chandrasekhar
Publisher : Oxford University Press, USA
Page : 646 pages
File Size : 50,6 Mb
Release : 1992
Category : Science
ISBN : 0198520506

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The Mathematical Theory of Black Holes by Subrahmanyan Chandrasekhar Pdf

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.

Author : B. Bertotti,F. de Felice,Alessandro Pascolini
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400964693

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General Relativity and Gravitation by B. Bertotti,F. de Felice,Alessandro Pascolini Pdf

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.

Author : Eric Poisson
Publisher : Cambridge University Press
Page : 253 pages
File Size : 48,7 Mb
Release : 2004-05-06
Category : Science
ISBN : 9781139451994

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A Relativist's Toolkit by Eric Poisson Pdf

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.

Author : Markus Heusler
Publisher : Cambridge University Press
Page : 267 pages
File Size : 50,5 Mb
Release : 1996-07-25
Category : Science
ISBN : 9780521567350

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Black Hole Uniqueness Theorems by Markus Heusler Pdf

A self-contained introduction to the mathematical theory of black holes.

Author : Subrahmanyan Chandrasekhar
Publisher : University of Chicago Press
Page : 776 pages
File Size : 50,6 Mb
Release : 1991-04-09
Category : Science
ISBN : 0226101002

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Selected Papers, Volume 6 by Subrahmanyan Chandrasekhar Pdf

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.

Author : Steven S. Gubser,Frans Pretorius
Publisher : Princeton University Press
Page : 200 pages
File Size : 54,7 Mb
Release : 2017-09-25
Category : Science
ISBN : 9781400888290

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The Little Book of Black Holes by Steven S. Gubser,Frans Pretorius Pdf

Dive into a mind-bending exploration of the physics of black holes Black holes, predicted by Albert Einstein’s general theory of relativity more than a century ago, have long intrigued scientists and the public with their bizarre and fantastical properties. Although Einstein understood that black holes were mathematical solutions to his equations, he never accepted their physical reality—a viewpoint many shared. This all changed in the 1960s and 1970s, when a deeper conceptual understanding of black holes developed just as new observations revealed the existence of quasars and X-ray binary star systems, whose mysterious properties could be explained by the presence of black holes. Black holes have since been the subject of intense research—and the physics governing how they behave and affect their surroundings is stranger and more mind-bending than any fiction. After introducing the basics of the special and general theories of relativity, this book describes black holes both as astrophysical objects and theoretical “laboratories” in which physicists can test their understanding of gravitational, quantum, and thermal physics. From Schwarzschild black holes to rotating and colliding black holes, and from gravitational radiation to Hawking radiation and information loss, Steven Gubser and Frans Pretorius use creative thought experiments and analogies to explain their subject accessibly. They also describe the decades-long quest to observe the universe in gravitational waves, which recently resulted in the LIGO observatories’ detection of the distinctive gravitational wave “chirp” of two colliding black holes—the first direct observation of black holes’ existence. The Little Book of Black Holes takes readers deep into the mysterious heart of the subject, offering rare clarity of insight into the physics that makes black holes simple yet destructive manifestations of geometric destiny.

Author : M.R. Anderson
Publisher : CRC Press
Page : 380 pages
File Size : 53,6 Mb
Release : 2015-05-06
Category : Science
ISBN : 9781420033366

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The Mathematical Theory of Cosmic Strings by M.R. Anderson Pdf

This book is a comprehensive survey of the current state of knowledge about the dynamics and gravitational properties of cosmic strings treated in the idealized classical approximation as line singularities described by the Nambu-Goto action. The author's purpose is to provide a standard reference to all work that has been published since the mid-1970s and to link this work together in a single conceptual framework and a single notational formalism. A working knowledge of basic general relativity is assumed. The book will be essential reading for researchers and postgraduate students in mathematics, theoretical physics, and astronomy interested in cosmic strings.

Author : Piotr T. Chruściel
Publisher : Oxford University Press, USA
Page : 404 pages
File Size : 41,8 Mb
Release : 2020-07-28
Category : Mathematics
ISBN : 9780198855415

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Geometry of Black Holes by Piotr T. Chruściel Pdf

Black holes present one of the most fascinating predictions of Einstein's general relativity, with strong evidence of their existence through observations of many means. The book provides a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.

Author : Barrett O'Neill
Publisher : Courier Corporation
Page : 400 pages
File Size : 52,7 Mb
Release : 2014-01-15
Category : Science
ISBN : 9780486783116

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The Geometry of Kerr Black Holes by Barrett O'Neill Pdf

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.

Author : Valeri P. Frolov,Andrei Zelnikov
Publisher : Oxford University Press
Page : 505 pages
File Size : 44,8 Mb
Release : 2011-09-22
Category : Science
ISBN : 9780199692293

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Introduction to Black Hole Physics by Valeri P. Frolov,Andrei Zelnikov Pdf

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.

Author : Semyon Dyatlov,Maciej Zworski
Publisher : American Mathematical Soc.
Page : 634 pages
File Size : 54,7 Mb
Release : 2019-09-10
Category : Frequencies of oscillating systems
ISBN : 9781470443665

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Mathematical Theory of Scattering Resonances by Semyon Dyatlov,Maciej Zworski Pdf

Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.

Author : Chandrasekhar
Publisher : Unknown
Page : 128 pages
File Size : 53,7 Mb
Release : 1993
Category : Electronic
ISBN : OCLC:488824367

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The Mathematical Theory of Black Holes by Chandrasekhar Pdf

Author : Kip S. Thorne,Kirk S. Thorne,Richard H. Price,Douglas A. MacDonald
Publisher : Yale University Press
Page : 392 pages
File Size : 55,5 Mb
Release : 1986-01-01
Category : Science
ISBN : 0300037708

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Black Holes by Kip S. Thorne,Kirk S. Thorne,Richard H. Price,Douglas A. MacDonald Pdf

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.

Author : Abhas Mitra
Publisher : Pan Macmillan
Page : 230 pages
File Size : 41,9 Mb
Release : 2021-01-22
Category : Science
ISBN : 9789389104158

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The Rise and Fall of the Black Hole Paradigm by Abhas Mitra Pdf

Black holes have turned out to be the cornerstone of both physics and popular belief. But what if we were to realize that exact black holes cannot exist, even though their existence is apparently suggested by exact general relativistic solutions, and Roger Penrose won the 2020 Nobel Prize in Physics ‘for the discovery that black hole formation is a robust prediction of the general theory of relativity’? While it might seem far-fetched to claim so, it will be worth remembering that the finest theoretical physicists like Albert Einstein and Paul Dirac did not believe in black holes, and Stephen Hawking finally thought that there are no exact black holes. While the black hole paradigm has become commonplace in popular consciousness, in the last decade, noise has consistently grown about the many physical effects which can inhibit the formation of exact mathematical black holes. In The Rise and Fall of the Black Hole Paradigm, Abhas Mitra shows us how, much before these developments, he had proven why the so-called black holes must only be black hole pretenders. He identified these black hole candidates to be Magnetospheric Eternally Collapsing Objects (MECOs) and, along with Darryl J. Leiter and Stanley L. Robertson, generalized them. Recent evidence for the existence of strong magnetic fields around so-called black holes may provide confirmations of his claim.