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Topological Properties and Global Structure of Space-Time

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Release : 2013-12-19
Genre : Science
Kind : eBook
Book Rating : 262/5 ( reviews)

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Book Synopsis Topological Properties and Global Structure of Space-Time by : Peter G. Bergmann

Download or read book Topological Properties and Global Structure of Space-Time written by Peter G. Bergmann. This book was released on 2013-12-19. Available in PDF, EPUB and Kindle. Book excerpt: The Ninth Course of the International School of Cosmology and Gravita tion of the Ettore Majorana Centre for Scientific Culture is concerned with "Topological Properties and Global Structure of Space-Time." We consider this topic to possess great importance. Our choice has also been influenced by the fact that there are many quest ions as yet unre solved. Standard general relativity describes space-time as a four-dimensional pseudo-Riemannian manifold, but it does not prescribe its large-scale structure. Inorderto attempt answers to some topological questions, such as whether our universe is open or closed, whether it is orientable, and whether it is complete or possesses singularities, various theoretical approaches to global aspects of gravitational physics are presented here. As topological questions playa role in non-standard theories as weIl, it will be found that some of the lectures and seminar talks in this volume adopt the point of view of standard relativity, whereas others are based on different theories, such as Kaluza-Klein theories, bimetric theories, and supergravity. We have found it difficult to organize these papers into classes, say standard and non-standard theory, or models with and without singularities. One paper, by R. Reasenberg, is experimental. Its purpose was to give the theorists present an inkling of the opportunities, as weIl as the pitfalls, of experimental research in gravitational physics. Accordingly, we have arranged all contributions alphabetically, by ~first-named) author.

Topological Properties and Global Estructure of Space-time

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Release : 1986
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Topological Properties and Global Estructure of Space-time by : Venzo De Sabbata

Download or read book Topological Properties and Global Estructure of Space-time written by Venzo De Sabbata. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt:

Global Spacetime Structure

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Release : 2020-12-03
Genre : Philosophy
Kind : eBook
Book Rating : 741/5 ( reviews)

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Book Synopsis Global Spacetime Structure by : JB Manchak

Download or read book Global Spacetime Structure written by JB Manchak. This book was released on 2020-12-03. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of the global structure of spacetime within the context of general relativity examines the causal and singular structures of spacetime, revealing some of the curious possibilities that are compatible with the theory, such as 'time travel' and 'holes' of various types. Investigations into the epistemic and modal structures of spacetime highlight the difficulties in ruling out such possibilities, unlikely as they may seem at first. The upshot seems to be that what counts as a 'physically reasonable' spacetime structure in modern physics is far from clear.

Spacetime and Singularities

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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 Large Scale Structure of Space-Time

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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.

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