Black Hole Uniqueness Theorems
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Black Hole Uniqueness Theorems
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Author : Markus Heusler
language : en
Publisher: Cambridge University Press
Release Date : 1996-07-25
Black Hole Uniqueness Theorems written by Markus Heusler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-25 with Science categories.
A self-contained introduction to the mathematical theory of black holes.
On Black Hole Uniqueness Theorems
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Author : Joao Lopes Costa
language : en
Publisher:
Release Date : 2010
On Black Hole Uniqueness Theorems written by Joao Lopes Costa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Spinor Proofs Of The Black Hole Uniqueness Theorems
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Author : Wing-Chung Fong
language : en
Publisher:
Release Date : 2004
Spinor Proofs Of The Black Hole Uniqueness Theorems written by Wing-Chung Fong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematical physics categories.
The Mathematical Theory Of Black Holes
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Author : Subrahmanyan Chandrasekhar
language : en
Publisher: Oxford University Press
Release Date : 1998
The Mathematical Theory Of Black Holes written by Subrahmanyan Chandrasekhar and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
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.
Mathematical Theory Of Black Holes In Higher Dimensions
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Author : Petya Nedkova
language : en
Publisher: Springer
Release Date : 2024-11-11
Mathematical Theory Of Black Holes In Higher Dimensions written by Petya Nedkova and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-11 with Science categories.
This book portraits the mathematical theory which lies behind black hole solutions in spacetimes with an extra dimension. Step by step the authors build a comprehensive picture of the main concepts and tools necessary to understand these geometries. In this way the book addresses questions like: How do we describe black holes in higher dimensions? How can we construct such geometries explicitly as exact solutions to the field equations? How many independent solutions can exist and how are they classified? The book concentrates on five-dimensional stationary and axisymmetric spacetimes in electro-vacuum and systematically introduces the most important black geometries which can arise in these settings. The authors follow the natural progress of the research area by initially describing the first results that were obtained intuitively and sparkled interest in the community. Then the elaborate mathematical techniques are introduced which allow to systematically construct exact black hole solutions. Topics like the integrability of the theory, the hidden symmetries of the field equations, the available Bäcklund transformations and solution generation techniques based on the inverse scattering method are covered. The last part of the book is devoted to uniqueness theorems showing how to classify the black hole spacetimes and distinguish the non-equivalent ones. The book is not just a mere collection of facts but a methodological description of the most important mathematical techniques and constructions in an active research area. The discussion is pedagogical and all the methods are demonstrated on a variety of examples. Most of the book is adapted to the level of a graduate student possessing a basic knowledge of general relativity and differential equations, and can serve as a practical guide for quickly acquiring the specific concepts and calculation techniques. Both authors have contributed to the research area by their original results, and share their own experience and perspective.
Black Holes
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Author : Sean Alan Hayward
language : en
Publisher: World Scientific
Release Date : 2013
Black Holes written by Sean Alan Hayward and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.
Black holes, once just fascinating theoretical predictions of how gravity warps space-time according to Einstein's theory, are now generally accepted as astrophysical realities, formed by post-supernova collapse, or as supermassive black holes mysteriously found at the cores of most galaxies, powering active galactic nuclei, the most powerful objects in the universe. Theoretical understanding has progressed in recent decades with a wider realization that local concepts should characterize black holes, rather than the global concepts found in textbooks. In particular, notions such as trapping horizon allow physically meaningful quantities and equations, describing how a black hole evolves. This has led to discoveries in fields as diverse as classical and numerical general relativity, differential geometry, thermodynamics, quantum field theory, and quantum gravity. There is heretofore no one volume which covers all the main aspects, so this volume collects together summaries and recent research, each chapter written by an expert or experts in a given field. This is intended for readers at a graduate level upwards, who wish to learn about the wide range of research concerning black holes.
Black Hole Physics
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Author : Daniel Grumiller
language : en
Publisher: Springer Nature
Release Date : 2022-11-07
Black Hole Physics written by Daniel Grumiller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-07 with Science categories.
This textbook gradually introduces the reader to several topics related to black hole physics with a didactic approach. It starts with the most basic black hole solution, the Schwarzschild metric, and discusses the basic classical properties of black hole solutions as seen by different probes. Then it reviews various theorems about black hole properties as solutions to Einstein gravity coupled to matter fields, conserved charges associated with black holes, and laws of black hole thermodynamics. Next, it elucidates semiclassical and quantum aspects of black holes, which are relevant in ongoing and future research. The book is enriched with many exercises and solutions to assist in the learning. The textbook is designed for physics graduate students who want to start their research career in the field of black holes; postdocs who recently changed their research focus towards black holes and want to get up-to-date on recent and current research topics; advanced researchers intending to teach (or learn) basic and advanced aspects of black hole physics and the associated mathematical tools. Besides general relativity, the reader needs to be familiar with standard undergraduate physics, like thermodynamics, quantum mechanics, and statistical mechanics. Moreover, familiarity with basic quantum field theory in Minkowski space is assumed. The book covers the rest of the needed background material in the main text or the appendices.
Black Holes Theory And Observation
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Author : Friedrich W. Hehl
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-26
Black Holes Theory And Observation written by Friedrich W. Hehl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-26 with Science categories.
This book addresses graduate students in the first place and is meant as a modern compendium to the existing texts on black hole astrophysics. The authors present in pedagogically written articles our present knowledge on black holes covering mathematical models including numerical aspects and physics and astronomical observations as well. In addition, in their write-up of a panel discussion the participants of the school address the existence of black holes consenting that it has by now been verified with certainty.
General Relativity And Gravitation
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Author : M. A. H. MacCallum
language : en
Publisher: CUP Archive
Release Date : 1987-09-24
General Relativity And Gravitation written by M. A. H. MacCallum and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-09-24 with Science categories.
Foundations Of General Relativity
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Author : Klaas Landsman
language : en
Publisher: Radboud University Press
Release Date : 2021-10-08
Foundations Of General Relativity written by Klaas Landsman and has been published by Radboud University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-08 with Science categories.
This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
