Exact Space Times In Einsteins General Relativity
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Author | : Jerry B. Griffiths |
Publisher | : Cambridge University Press |
Total Pages | : 544 |
Release | : 2009-10-15 |
Genre | : Science |
ISBN | : 1139481169 |
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.
Author | : Jerry B. Griffiths |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2012-08-09 |
Genre | : Science |
ISBN | : 9781107406186 |
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.
Author | : Jerry B. Griffiths |
Publisher | : Cambridge University Press |
Total Pages | : 548 |
Release | : 2009-10-15 |
Genre | : Science |
ISBN | : 9780521889278 |
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.
Author | : Hans Stephani |
Publisher | : Cambridge University Press |
Total Pages | : 94 |
Release | : 2009-09-24 |
Genre | : Science |
ISBN | : 9781139435024 |
A paperback edition of a classic text, this book contains six new chapters, covering generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics.
Author | : S. W. Hawking |
Publisher | : Cambridge University Press |
Total Pages | : 406 |
Release | : 1975-02-27 |
Genre | : Science |
ISBN | : 1139810952 |
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.
Author | : Jose Wudka |
Publisher | : Cambridge University Press |
Total Pages | : 307 |
Release | : 2006-07-20 |
Genre | : Science |
ISBN | : 0521822807 |
Space-Time, Relativity, and Cosmology provides a historical introduction to modern relativistic cosmology and traces its historical roots and evolution from antiquity to Einstein. The topics are presented in a non-mathematical manner, with the emphasis on the ideas that underlie each theory rather than their detailed quantitative consequences. A significant part of the book focuses on the Special and General theories of relativity. The tests and experimental evidence supporting the theories are explained together with their predictions and their confirmation. Other topics include a discussion of modern relativistic cosmology, the consequences of Hubble's observations leading to the Big Bang hypothesis, and an overview of the most exciting research topics in relativistic cosmology. This textbook is intended for introductory undergraduate courses on the foundations of modern physics. It is also accessible to advanced high school students, as well as non-science majors who are concerned with science issues.
Author | : Rafael Ferraro |
Publisher | : Springer Science & Business Media |
Total Pages | : 322 |
Release | : 2007-06-07 |
Genre | : Science |
ISBN | : 0387699465 |
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.
Author | : Brian P. Dolan |
Publisher | : Cambridge University Press |
Total Pages | : 215 |
Release | : 2023-06-30 |
Genre | : Science |
ISBN | : 1009263714 |
Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.
Author | : Sir Arthur Stanley Eddington |
Publisher | : |
Total Pages | : 240 |
Release | : 1920 |
Genre | : General relativity (Physics). |
ISBN | : |
Author | : Juan A. Valiente Kroon |
Publisher | : Cambridge University Press |
Total Pages | : 625 |
Release | : 2016-07-21 |
Genre | : Mathematics |
ISBN | : 1107033896 |
A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein's theory of gravity.