the geometry of kerr black holes dover books on physics

Download Book The Geometry Of Kerr Black Holes Dover Books On Physics in PDF format. You can Read Online The Geometry Of Kerr Black Holes Dover Books On Physics here in PDF, EPUB, Mobi or Docx formats.

The Geometry Of Kerr Black Holes

Author : Barrett O'Neill
ISBN : 9780486783116
Genre : Science
File Size : 51. 79 MB
Format : PDF, Kindle
Download : 708
Read : 190

Get This Book


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.

The Mathematical Theory Of Black Holes

Author : Subrahmanyan Chandrasekhar
ISBN : 0198503709
Genre : Science
File Size : 25. 11 MB
Format : PDF, Docs
Download : 499
Read : 688

Get This Book


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.

Curvature In Mathematics And Physics

Author : Shlomo Sternberg
ISBN : 9780486292717
Genre : Mathematics
File Size : 89. 97 MB
Format : PDF, ePub, Docs
Download : 790
Read : 1198

Get This Book


Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.

Black Holes In Higher Dimensions

Author : Gary T. Horowitz
ISBN : 9781107013452
Genre : Science
File Size : 38. 73 MB
Format : PDF, ePub, Docs
Download : 146
Read : 830

Get This Book


"Black holes are one of the most remarkable predictions of Einstein's general relativity. Now widely accepted by the scientific community, most work has focussed on black holes in our familiar four spacetime dimensions. But in recent years, ideas in brane-world cosmology, string theory, and gauge/gravity duality have all motivated a study of black holes in more than four dimensions, with surprising results. In higher dimensions, black holes exist with exotic shapes and unusual dynamics. Edited by leadingexpert Gary Horowitz, this exciting book is the first devoted to this new field. The major discoveries are explained by the people who made them: RobMyers describes theMyers-Perry solutions that represent rotating black holes in higher dimensions; Ruth Gregory describes the Gregory-Laflamme instability of black strings; and Juan Maldacena introduces gauge/gravity duality, the remarkable correspondence that relates a gravitational theory to nongravitational physics. There are two additional chapters on this duality describing how black holes can be used to describe relativistic fluids and aspects of condensed matter physics"--

Semi Riemannian Geometry With Applications To Relativity

Author : Barrett O'Neill
ISBN : 0080570577
Genre : Science
File Size : 68. 43 MB
Format : PDF, ePub
Download : 137
Read : 1214

Get This Book


This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

General Relativity

Author : Norbert Straumann
ISBN : 9783662118276
Genre : Science
File Size : 79. 8 MB
Format : PDF, ePub, Mobi
Download : 221
Read : 408

Get This Book


The foundations are thoroughly developed together with the required mathematical background from differential geometry developed in Part III. The author also discusses the tests of general relativity in detail, including binary pulsars, with much space is devoted to the study of compact objects, especially to neutron stars and to the basic laws of black-hole physics. This well-structured text and reference enables readers to easily navigate through the various sections as best matches their backgrounds and perspectives, whether mathematical, physical or astronomical. Very applications oriented, the text includes very recent results, such as the supermassive black-hole in our galaxy and first double pulsar system

Physical Foundations Of Cosmology

Author : Viatcheslav Mukhanov
ISBN : 9781139447119
Genre : Science
File Size : 28. 11 MB
Format : PDF, ePub, Docs
Download : 211
Read : 603

Get This Book


Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.

Elementary Differential Geometry

Author : Barrett O'Neill
ISBN : 9781483268118
Genre : Mathematics
File Size : 48. 86 MB
Format : PDF, ePub, Docs
Download : 739
Read : 511

Get This Book


Elementary Differential Geometry focuses on the elementary account of the geometry of curves and surfaces. The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, frame fields, covariant derivatives, Frenet formulas, curves, mappings, tangent vectors, and differential forms. The publication then examines Euclidean geometry and calculus on a surface. Discussions focus on topological properties of surfaces, differential forms on a surface, integration of forms, differentiable functions and tangent vectors, congruence of curves, derivative map of an isometry, and Euclidean geometry. The manuscript takes a look at shape operators, geometry of surfaces in E, and Riemannian geometry. Concerns include geometric surfaces, covariant derivative, curvature and conjugate points, Gauss-Bonnet theorem, fundamental equations, global theorems, isometries and local isometries, orthogonal coordinates, and integration and orientation. The text is a valuable reference for students interested in elementary differential geometry.

Stars And Relativity

Author : Ya. B. Zel’dovich
ISBN : 9780486171326
Genre : Science
File Size : 71. 15 MB
Format : PDF, Docs
Download : 160
Read : 1022

Get This Book


Two of the greatest astrophysicists of the 20th century explore general relativity, properties of matter under astrophysical conditions, stars, and stellar systems. A valuable resource for physicists, astronomers, graduate students. 1971 edition.

Introduction To General Relativity Black Holes And Cosmology

Author : Yvonne Choquet-Bruhat
ISBN : 9780199666461
Genre : Science
File Size : 38. 4 MB
Format : PDF, ePub, Mobi
Download : 116
Read : 1276

Get This Book


General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.

Top Download:

Best Books