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Spacetime and Singularities

1988 Mathematics
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Release : 1988
Genre : Mathematics
Kind : eBook
Book Rating : 123/5 ( reviews)

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Book Synopsis Spacetime and Singularities by : Gregory L. Naber

Download or read book Spacetime and Singularities written by Gregory L. Naber. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt: An elementary introduction to the geometrical methods and notions used in special and general relativity. Emphasizes the ideas concerned with structure of space-time that play a role in Penrose-Hawking singularity theorems.

The Analysis of Space-Time Singularities

1993 Science
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Release : 1993
Genre : Science
Kind : eBook
Book Rating : 967/5 ( reviews)

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Book Synopsis The Analysis of Space-Time Singularities by : C. J. S. Clarke

Download or read book The Analysis of Space-Time Singularities written by C. J. S. Clarke. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: The different possible singularities are defined and the mathematical methods needed to extend the space-time are described in detail in this book. Results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor.

Gravitational Collapse and Spacetime Singularities

2012-09-20 Science
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Release : 2012-09-20
Genre : Science
Kind : eBook
Book Rating : 363/5 ( reviews)

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Book Synopsis Gravitational Collapse and Spacetime Singularities by : Pankaj S. Joshi

Download or read book Gravitational Collapse and Spacetime Singularities written by Pankaj S. Joshi. This book was released on 2012-09-20. Available in PDF, EPUB and Kindle. Book excerpt: Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of research into gravitational collapse, and several examples of collapse models are investigated in detail.

The Large Scale Structure of Space-Time

1975-02-27 Science
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Release : 1975-02-27
Genre : Science
Kind : eBook
Book Rating : 952/5 ( reviews)

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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. This book was released on 1975-02-27. 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.

Gravitational Collapse and Spacetime Singularities

2007-12-13 Science
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Release : 2007-12-13
Genre : Science
Kind : eBook
Book Rating : 044/5 ( reviews)

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Book Synopsis Gravitational Collapse and Spacetime Singularities by : Pankaj S. Joshi

Download or read book Gravitational Collapse and Spacetime Singularities written by Pankaj S. Joshi. This book was released on 2007-12-13. Available in PDF, EPUB and Kindle. Book excerpt: Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book, first published in 2007, investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of research into gravitational collapse, and several examples of collapse models are investigated in detail.

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