Geometry of Black Holes

Geometry of Black Holes
Author: Piotr T. Chruściel
Publisher: Oxford University Press, USA
Total Pages: 404
Release: 2020-07-28
Genre: Mathematics
ISBN: 0198855419

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.

The Geometry of Kerr Black Holes

The Geometry of Kerr Black Holes
Author: Barrett O'Neill
Publisher: Courier Corporation
Total Pages: 404
Release: 2014-01-15
Genre: Science
ISBN: 0486783111

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.

Black Holes

Black Holes
Author: Derek J. Raine
Publisher: Imperial College Press
Total Pages: 211
Release: 2010
Genre: Science
ISBN: 1848163827

This introduction to the fascinating subject of black holes fills a significant gap in the literature which exists between popular, non-mathematical expositions and advanced textbooks at the research level. It is designed for advanced undergraduates and first year postgraduates as a useful stepping-stone to the advanced literature. The book provides an accessible introduction to the exact solutions of Einstein's vacuum field equations describing spherical and axisymmetric (rotating) black holes. The geometry and physical properties of these spacetimes are explored through the motion of particles and light. The use of different coordinate systems, maximal extensions and Penrose diagrams is explained. The association of the surface area of a black hole with its entropy is discussed and it is shown that with the introduction of quantum mechanics black holes cease to be black and can radiate. This result allows black holes to satisfy the laws of thermodynamics and thus be consistent with the rest of physics. In this new edition the problems in each chapter have been revised and solutions are provided. The text has been expanded to include new material on wormholes and clarify various other issues.

The Mathematical Theory of Black Holes

The Mathematical Theory of Black Holes
Author: Subrahmanyan Chandrasekhar
Publisher: Oxford University Press
Total Pages: 676
Release: 1998
Genre: Science
ISBN: 9780198503705

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.

Dynamics of Extremal Black Holes

Dynamics of Extremal Black Holes
Author: Stefanos Aretakis
Publisher: Springer
Total Pages: 139
Release: 2018-11-02
Genre: Science
ISBN: 3319951831

This Brief presents in a self-contained, non-technical and illustrative fashion the state-of-the-art results and techniques for the dynamics of extremal black holes. Extremal black holes are, roughly speaking, either maximally rotating or maximally charged. Astronomical observations suggest that near-extremal (stellar or supermassive) black holes are ubiquitous in the universe. The book presents various recently discovered characteristic phenomena (such as the horizon instability) that have enhanced our understanding of the dynamics of extremal black holes. The topics should be of interest to pure mathematicians, theoretical physicists and astronomers. This book provides common ground for communication between these scientific communities.

Black Holes in Higher Dimensions

Black Holes in Higher Dimensions
Author: Gary T. Horowitz
Publisher: Cambridge University Press
Total Pages: 437
Release: 2012-04-19
Genre: Science
ISBN: 1107013453

The first book devoted to black holes in more than four dimensions, for graduate students and researchers.

Three Lectures on Complexity and Black Holes

Three Lectures on Complexity and Black Holes
Author: Leonard Susskind
Publisher: Springer Nature
Total Pages: 93
Release: 2020-05-11
Genre: Science
ISBN: 3030451097

These three lectures cover a certain aspect of complexity and black holes, namely the relation to the second law of thermodynamics. The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the connection between the second law of complexity and the interior of black holes. Prof. L. Susskind discusses how firewalls are related to periods of non-increasing complexity which typically only occur after an exponentially long time. The final lecture is about the thermodynamics of complexity, and “uncomplexity” as a resource for doing computational work. The author explains the remarkable power of “one clean qubit,” in both computational terms and in space-time terms. This book is intended for graduate students and researchers who want to take the first steps towards the mysteries of black holes and their complexity.

Artificial Black Holes

Artificial Black Holes
Author: Mario Novello
Publisher: World Scientific
Total Pages: 415
Release: 2002-10-04
Genre: Science
ISBN: 9814489603

Physicists are pondering on the possibility of simulating black holes in the laboratory by means of various “analog models”. 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 — written by experts in general relativity, particle physics, and condensed matter physics — that explore various aspects of this two-way traffic.

Black Holes

Black Holes
Author: Kip S. Thorne
Publisher: Yale University Press
Total Pages: 392
Release: 1986-01-01
Genre: Science
ISBN: 9780300037708

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.

Spacetime and Geometry

Spacetime and Geometry
Author: Sean M. Carroll
Publisher: Cambridge University Press
Total Pages: 529
Release: 2019-08-08
Genre: Science
ISBN: 1108488390

An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.