Exact Space Times In Einstein S General Relativity

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Exact Space-Times in Einstein's General Relativity

Jerry B. Griffiths,Jiří Podolský
Exact Space Times in Einstein s General Relativity Book PDF

Author : Jerry B. Griffiths,Jiří Podolský
Publisher : Cambridge University Press
Page : 544 pages
File Size : 42,9 Mb
Release : 2009-10-15
Category : Science
ISBN : 9781139481168

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Exact Space-Times in Einstein's General Relativity by Jerry B. Griffiths,Jiří Podolský Pdf

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.

Exact Space-Times in Einstein's General Relativity

Jerry B. Griffiths,Jiří Podolský
Exact Space Times in Einstein s General Relativity Book PDF

Author : Jerry B. Griffiths,Jiří Podolský
Publisher : Cambridge University Press
Page : 0 pages
File Size : 50,7 Mb
Release : 2012-08-09
Category : Science
ISBN : 1107406188

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Exact Space-Times in Einstein's General Relativity by Jerry B. Griffiths,Jiří Podolský Pdf

Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learned about the character of gravitation and its effects by investigating particular idealized examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. New 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 analyzed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.

Exact Space-Times in Einstein's General Relativity

Jerry B. Griffiths,Jiří Podolský
Exact Space Times in Einstein s General Relativity Book PDF

Author : Jerry B. Griffiths,Jiří Podolský
Publisher : Cambridge University Press
Page : 548 pages
File Size : 44,7 Mb
Release : 2009-10-15
Category : Science
ISBN : 0521889278

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Exact Space-Times in Einstein's General Relativity by Jerry B. Griffiths,Jiří Podolský Pdf

Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learned about the character of gravitation and its effects by investigating particular idealized examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. New 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 analyzed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.

Exact Solutions of Einstein's Field Equations

Hans Stephani,Dietrich Kramer,Malcolm MacCallum,Cornelius Hoenselaers,Eduard Herlt
Exact Solutions of Einstein s Field Equations Book PDF

Author : Hans Stephani,Dietrich Kramer,Malcolm MacCallum,Cornelius Hoenselaers,Eduard Herlt
Publisher : Cambridge University Press
Page : 732 pages
File Size : 53,9 Mb
Release : 2009-09-24
Category : Science
ISBN : 0521467020

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Exact Solutions of Einstein's Field Equations by Hans Stephani,Dietrich Kramer,Malcolm MacCallum,Cornelius Hoenselaers,Eduard Herlt Pdf

A completely revised and updated edition of this classic text, covering important new methods and many recently discovered solutions. This edition contains new chapters on generation methods and their application, classification of metrics by invariants, and treatments of homothetic motions and methods from dynamical systems theory. It also includes colliding waves, inhomogeneous cosmological solutions, and spacetimes containing special subspaces.

The Large Scale Structure of Space-Time

S. W. Hawking,G. F. R. Ellis
The Large Scale Structure of Space Time Book PDF

Author : S. W. Hawking,G. F. R. Ellis
Publisher : Cambridge University Press
Page : 406 pages
File Size : 50,9 Mb
Release : 1975-02-27
Category : Science
ISBN : 9781139810951

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The Large Scale Structure of Space-Time by S. W. Hawking,G. F. R. Ellis Pdf

Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

Exact Solutions in Three-Dimensional Gravity

Alberto A. García-Díaz
Exact Solutions in Three Dimensional Gravity Book PDF

Author : Alberto A. García-Díaz
Publisher : Cambridge University Press
Page : 453 pages
File Size : 49,7 Mb
Release : 2017-09-07
Category : Science
ISBN : 9781107147898

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Exact Solutions in Three-Dimensional Gravity by Alberto A. García-Díaz Pdf

A self-contained and unique text systematically presenting the determination and classification of exact solutions in three-dimensional Einstein gravity. Including contributions by David Chow, Christopher N. Pope and Ergin Sezgin (chapters 16-19).

Einstein's Space-Time

Rafael Ferraro
Einstein s Space Time Book PDF

Author : Rafael Ferraro
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 46,9 Mb
Release : 2007-06-07
Category : Science
ISBN : 9780387699462

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Einstein's Space-Time by Rafael Ferraro Pdf

This excellent textbook offers a unique take on relativity theory, setting it in its historical context. Ideal for those interested in relativity and the history of physics, the book contains a complete account of special relativity that begins with the historical analysis of the reasons that led to a change in our view of space and time. Its aim is to foster a deep understanding of relativistic spacetime and its consequences for Dynamics.

Conformal Methods in General Relativity

Juan A. Valiente Kroon
Conformal Methods in General Relativity Book PDF

Author : Juan A. Valiente Kroon
Publisher : Cambridge University Press
Page : 627 pages
File Size : 47,5 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009291347

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Conformal Methods in General Relativity by Juan A. Valiente Kroon Pdf

This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.

The General Theory of Relativity

Farook Rahaman
The General Theory of Relativity Book PDF

Author : Farook Rahaman
Publisher : Cambridge University Press
Page : 427 pages
File Size : 54,8 Mb
Release : 2021-09-30
Category : Science
ISBN : 9781108837996

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The General Theory of Relativity by Farook Rahaman Pdf

Discusses the general theory of relativity, Lie derivatives, rotating black holes, with a focus on basics of cosmology and astrophysics.

Space, Time and Gravitation - An Outline of the General Relativity Theory

Arthur Eddington
Space Time and Gravitation An Outline of the General Relativity Theory Book PDF

Author : Arthur Eddington
Publisher : Read Books Ltd
Page : 226 pages
File Size : 40,7 Mb
Release : 2013-04-16
Category : Science
ISBN : 9781447489481

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Space, Time and Gravitation - An Outline of the General Relativity Theory by Arthur Eddington Pdf

Written by the English astrophysicist, Sir Arthur Eddington (1882-1944), and originally published in 1920, ‘Space, Time and Gravitation’ outlines the general theory of relativity in astrophysics. This fascinating early work navigates Einstein’s theory through a series of perspectives – that of the experimental physicist, pure mathematician, and relativist, making it a wonderful read for the student, teacher or astrophysics enthusiast today. Contents include: Arthur Eddington; Preface; Prologue; ‘What Is Geometry?’; 1 - The Fitzgerald Contraction; 2 – Relativity; 3 - The World of Four Dimensions; 4 - Fields of force; 5 - Kinds of Space; 6 - The New Law of Gravitation and the Old Law; 7 - Weighing Light; 8 - Other Tests of the Theory; 9 - Momentum and Energy; 10 - towards infinity; 11 - Electricity and Gravitation; 12 - On The Nature of Things; Appendix; Mathematical Notes; Historical Note. This classic text is being republished in a modern and affordable edition, complete with reproductions of the original illustrations and a specially written concise biography.

100 Years Of Relativity: Space-time Structure - Einstein And Beyond

Abhay Ashtekar
100 Years Of Relativity Space time Structure Einstein And Beyond Book PDF

Author : Abhay Ashtekar
Publisher : World Scientific
Page : 528 pages
File Size : 42,7 Mb
Release : 2005-11-22
Category : Science
ISBN : 9789814479936

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100 Years Of Relativity: Space-time Structure - Einstein And Beyond by Abhay Ashtekar Pdf

Thanks to Einstein's relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).

Numerical Relativity

Thomas W. Baumgarte,Stuart L. Shapiro
Numerical Relativity Book PDF

Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 717 pages
File Size : 53,9 Mb
Release : 2010-06-24
Category : Science
ISBN : 9781139643177

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Numerical Relativity by Thomas W. Baumgarte,Stuart L. Shapiro Pdf

Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.

General Relativity

Robert M. Wald
General Relativity Book PDF

Author : Robert M. Wald
Publisher : University of Chicago Press
Page : 507 pages
File Size : 42,9 Mb
Release : 2010-05-15
Category : Science
ISBN : 9780226870373

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General Relativity by Robert M. Wald Pdf

"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

Relativity the Special and General Theory

Albert Einstein
Relativity the Special and General Theory Book PDF

Author : Albert Einstein
Publisher : Createspace Independent Publishing Platform
Page : 110 pages
File Size : 51,8 Mb
Release : 2016-08-21
Category : Electronic
ISBN : 153714622X

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Relativity the Special and General Theory by Albert Einstein Pdf

This is an introduction to Einstein's space-bending, time-stretching theory of Relativity, written by the master himself. Special and General relativity explain the structure of space time and provide a theory of gravitation, respectively. Einstein's theories shocked the world with their counterintuitive results, including the dissolution of absolute time. In this book he brings a simplified form of his profound understanding of the subject to the layperson. In the words of Einstein: "The present book is intended, as far as possible, to give an exact insight into the theory of Relativity to those readers who, from a general scientific and philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics." The book is challenging at times but, when approached patiently, proves itself one of the most lucid explanations of Relativity to be found anywhere.

Space, Time, Matter

Hermann Weyl
Space Time Matter Book PDF

Author : Hermann Weyl
Publisher : Courier Corporation
Page : 368 pages
File Size : 49,9 Mb
Release : 2013-04-26
Category : Science
ISBN : 9780486318424

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Space, Time, Matter by Hermann Weyl Pdf

Excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation. "A classic of physics." — British Journal for Philosophy and Science.