Exact Space-Times in Einstein's General Relativity

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139481169
Total Pages : 544 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Exact Space-Times in Einstein's General Relativity by : Jerry B. Griffiths

Download or read book Exact Space-Times in Einstein's General Relativity written by Jerry B. Griffiths and published by Cambridge University Press. This book was released on 2009-10-15 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9781107406186
Total Pages : 0 pages
Book Rating : 4.4/5 (61 download)

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Book Synopsis Exact Space-Times in Einstein's General Relativity by : Jerry B. Griffiths

Download or read book Exact Space-Times in Einstein's General Relativity written by Jerry B. Griffiths and published by Cambridge University Press. This book was released on 2012-08-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521889278
Total Pages : 548 pages
Book Rating : 4.8/5 (892 download)

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Book Synopsis Exact Space-Times in Einstein's General Relativity by : Jerry B. Griffiths

Download or read book Exact Space-Times in Einstein's General Relativity written by Jerry B. Griffiths and published by Cambridge University Press. This book was released on 2009-10-15 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Large Scale Structure of Space-Time

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Publisher : Cambridge University Press
ISBN 13 : 1139810952
Total Pages : pages
Book Rating : 4.1/5 (398 download)

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Book Synopsis The Large Scale Structure of Space-Time by : S. W. Hawking

Download or read book The Large Scale Structure of Space-Time written by S. W. Hawking and published by Cambridge University Press. This book was released on 1975-02-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 of Einstein's Field Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521467025
Total Pages : 732 pages
Book Rating : 4.4/5 (67 download)

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Book Synopsis Exact Solutions of Einstein's Field Equations by : Hans Stephani

Download or read book Exact Solutions of Einstein's Field Equations written by Hans Stephani and published by Cambridge University Press. This book was released on 2009-09-24 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exact Solutions in Three-Dimensional Gravity

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107147891
Total Pages : 453 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Exact Solutions in Three-Dimensional Gravity by : Alberto A. García-Díaz

Download or read book Exact Solutions in Three-Dimensional Gravity written by Alberto A. García-Díaz and published by Cambridge University Press. This book was released on 2017-09-07 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387699465
Total Pages : 322 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Einstein's Space-Time by : Rafael Ferraro

Download or read book Einstein's Space-Time written by Rafael Ferraro and published by Springer Science & Business Media. This book was released on 2007-06-07 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Cambridge University Press
ISBN 13 : 1009291343
Total Pages : 627 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Conformal Methods in General Relativity by : Juan A. Valiente Kroon

Download or read book Conformal Methods in General Relativity written by Juan A. Valiente Kroon and published by Cambridge University Press. This book was released on 2023-01-31 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.

General Relativity

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Publisher : University of Chicago Press
ISBN 13 : 0226870375
Total Pages : 507 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis General Relativity by : Robert M. Wald

Download or read book General Relativity written by Robert M. Wald and published by University of Chicago Press. This book was released on 2010-05-15 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

Cracking the Einstein Code

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Publisher : University of Chicago Press
ISBN 13 : 0226519546
Total Pages : 151 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis Cracking the Einstein Code by : Fulvio Melia

Download or read book Cracking the Einstein Code written by Fulvio Melia and published by University of Chicago Press. This book was released on 2009-10-15 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Albert Einstein’s theory of general relativity describes the effect of gravitation on the shape of space and the flow of time. But for more than four decades after its publication, the theory remained largely a curiosity for scientists; however accurate it seemed, Einstein’s mathematical code—represented by six interlocking equations—was one of the most difficult to crack in all of science. That is, until a twenty-nine-year-old Cambridge graduate solved the great riddle in 1963. Roy Kerr’s solution emerged coincidentally with the discovery of black holes that same year and provided fertile testing ground—at long last—for general relativity. Today, scientists routinely cite the Kerr solution, but even among specialists, few know the story of how Kerr cracked Einstein’s code. Fulvio Melia here offers an eyewitness account of the events leading up to Kerr’s great discovery. Cracking the Einstein Code vividly describes how luminaries such as Karl Schwarzschild, David Hilbert, and Emmy Noether set the stage for the Kerr solution; how Kerr came to make his breakthrough; and how scientists such as Roger Penrose, Kip Thorne, and Stephen Hawking used the accomplishment to refine and expand modern astronomy and physics. Today more than 300 million supermassive black holes are suspected of anchoring their host galaxies across the cosmos, and the Kerr solution is what astronomers and astrophysicists use to describe much of their behavior. By unmasking the history behind the search for a real world solution to Einstein’s field equations, Melia offers a first-hand account of an important but untold story. Sometimes dramatic, often exhilarating, but always attuned to the human element, Cracking the Einstein Code is ultimately a showcase of how important science gets done.

Special & General Relativity (Concise Edition)

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Author :
Publisher : Simon and Schuster
ISBN 13 : 1804175730
Total Pages : 130 pages
Book Rating : 4.8/5 (41 download)

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Book Synopsis Special & General Relativity (Concise Edition) by : Albert Einstein

Download or read book Special & General Relativity (Concise Edition) written by Albert Einstein and published by Simon and Schuster. This book was released on 2024-04-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's pioneering work helped shape the cultural landscape of the world today. Now in a digestible, pocket format for the modern reader. A new, popular edition with a clear introduction, Special & General Relativity by Albert Einstein contains his core paper, 'Relativity, The Special & The General Theory: A Popular Exposition', which established his reputation as one of the greatest thinkers of our (and perhaps any) age. Also included are two of the Princeton University lectures he gave to explain his findings in more detail, on 'The Meaning of Relativity', as well as the early paper which led to his famous equation E = mc2. The FLAME TREE Foundations series features core publications which together have shaped the cultural landscape of the modern world, with cutting-edge research distilled into pocket guides designed to be both accessible and informative.

Introducing Einstein's Relativity

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Publisher : Oxford University Press
ISBN 13 : 0192606573
Total Pages : 512 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Introducing Einstein's Relativity by : Ray d'Inverno

Download or read book Introducing Einstein's Relativity written by Ray d'Inverno and published by Oxford University Press. This book was released on 2022-05-12 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is little doubt that Einstein's theory of relativity captures the imagination. Not only has it radically altered the way we view the universe, but the theory also has a considerable number of surprises in store. This is especially so in the three main topics of current interest that this book reaches, namely: black holes, gravitational waves, and cosmology. The main aim of this textbook is to provide students with a sound mathematical introduction coupled to an understanding of the physical insights needed to explore the subject. Indeed, the book follows Einstein in that it introduces the theory very much from a physical point of view. After introducing the special theory of relativity, the basic field equations of gravitation are derived and discussed carefully as a prelude to first solving them in simple cases and then exploring the three main areas of application. This new edition contains a substantial extension content that considers new and updated developments in the field. Topics include coverage of the advancement of observational cosmology, the detection of gravitational waves from colliding black holes and neutron stars, and advancements in modern cosmology. Einstein's theory of relativity is undoubtedly one of the greatest achievements of the human mind. Yet, in this book, the author makes it possible for students with a wide range of abilities to deal confidently with the subject. Based on both authors' experience teaching the subject this is achieved by breaking down the main arguments into a series of simple logical steps. Full details are provided in the text and the numerous exercises while additional insight is provided through the numerous diagrams. As a result this book makes an excellent course for any reader coming to the subject for the first time while providing a thorough understanding for any student wanting to go on to study the subject in depth

100 Years of Relativity

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Publisher : World Scientific
ISBN 13 : 9812700986
Total Pages : 527 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis 100 Years of Relativity by : Abhay Ashtekar

Download or read book 100 Years of Relativity written by Abhay Ashtekar and published by World Scientific. This book was released on 2005 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

The General Theory of Relativity

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Publisher : Cambridge University Press
ISBN 13 : 1009032372
Total Pages : 428 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis The General Theory of Relativity by : Farook Rahaman

Download or read book The General Theory of Relativity written by Farook Rahaman and published by Cambridge University Press. This book was released on 2021-09-30 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to expound the general theory of relativity with a mathematical point of view. Catering to the needs of postgraduate students and researchers in the field of astrophysics and mathematical physics, it offers the readers a comprehensive understanding of the advanced topics of the subject matter. It specifically discusses the mathematical foundation of tensor calculus, gives a background of geodesics, Einstein's field equations, linearised gravity, spacetime of spherically symmetric distribution of matter and black holes, and particle and photon orbits in spacetime. Apart from the formulation of general relativity, Lie derivatives and its applications, and causality of spacetime are also discussed in detail. Certain preliminary concepts of extrinsic curvature, Lagrangian formalism of general theory of relativity and 3 + 1 decomposition of space-time are covered and are provided in the book as appendices.

Space, Time and Gravitation

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Author :
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Space, Time and Gravitation by : Sir Arthur Stanley Eddington

Download or read book Space, Time and Gravitation written by Sir Arthur Stanley Eddington and published by . This book was released on 1920 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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Author :
Publisher : World Scientific
ISBN 13 : 9814479934
Total Pages : 528 pages
Book Rating : 4.8/5 (144 download)

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

Download or read book 100 Years Of Relativity: Space-time Structure - Einstein And Beyond written by Abhay Ashtekar and published by World Scientific. This book was released on 2005-11-22 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Cambridge University Press
ISBN 13 : 052151407X
Total Pages : 717 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Numerical Relativity by : Thomas W. Baumgarte

Download or read book Numerical Relativity written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2010-06-24 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.