The Cosmological Singularity

Author: Vladimir Belinski,Marc Henneaux

Publisher: Cambridge University Press

ISBN: 1107047471

Category: Science

Page: 304

View: 7823

This book mathematically derives the theory underlying the Belinski-Khalatnikov-Lifshitz conjecture on the general solution of the Einstein equations with a cosmological singularity.
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Gravitational Collapse and Spacetime Singularities

Author: Pankaj S. Joshi

Publisher: Cambridge University Press

ISBN: 1139468146

Category: Science

Page: N.A

View: 8504

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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The Large Scale Structure of Space-Time

Author: S. W. Hawking,G. F. R. Ellis

Publisher: Cambridge University Press

ISBN: 1139810952

Category: Science

Page: N.A

View: 6214

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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Progress in String, Field and Particle Theory

Author: L. Baulieu,Eliezer Rabinovici,Jeff Harvey,Boris Pioline,Paul Windey

Publisher: Springer Science & Business Media

ISBN: 9401002118

Category: Science

Page: 509

View: 1563

The NATO Advanced Study Institute and EC Summer School "Progress in String Field and Particle Theory" was held in Cargse from June 25th till July 11th 2002. The main focus of the school was the recent progress in the very ac tive areas of superstring theory, quantum gravity and the theory of elementary particles. It covered topical problems in domains such as duality between gravity and gaugeinteractions, string field theory, tachyon condensation, non-commutative field theory, string cosmology and string phenomenology. The School featured daily introductory lectures and topical seminars. An informal Gong Show session allowed young post-doctoral researchers and senior graduate students to make a concise presentation oftheir current work. The School gave an excellent opportunity to the youngest researchers to establish a close relationship with their seniors and with the lecturers. These proceedings will further serve in fixing the acquired knowledge, and hopefully, become a useful reference for anyone working in this fascinating do main of physics. Some of the contributions provide an elementary introduction to their subject, while other ones are more geared to the specialist. We are deeply indebted to the NATO Division for Scientific Affairs for funding, and for their constant attention for our meetings, and to the European Commission for a High-Level Scientific Conference grant HPCFCT 2001-00298.
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Gravitational Solitons

Author: V. Belinski,E. Verdaguer

Publisher: Cambridge University Press

ISBN: 9780521805865

Category: Science

Page: 258

View: 1522

This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity.
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Relativity on Curved Manifolds

Author: F. de Felice,C. J. S. Clarke

Publisher: Cambridge University Press

ISBN: 9780521429085

Category: Science

Page: 448

View: 1191

This is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurement on curved manifolds.
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Exact Space-Times in Einstein's General Relativity

Author: Jerry B. Griffiths,Jiří Podolský

Publisher: Cambridge University Press

ISBN: 1139481169

Category: Science

Page: N.A

View: 3840

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.
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Advanced General Relativity

Author: John Stewart,John M. Stewart

Publisher: Cambridge University Press

ISBN: 9780521449465

Category: Science

Page: 228

View: 7217

A self-contained introduction to advanced general relativity.
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Organon

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Engineering

Page: N.A

View: 6590

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Gravity and Strings

Author: Tomás Ortín

Publisher: Cambridge University Press

ISBN: 9780521035460

Category: Science

Page: 708

View: 7689

One appealing feature of string theory is that it provides a theory of quantum gravity. This volume is a self-contained, pedagogical exposition of this theory, its foundations and its basic results. Due to the large amount of background material, actions, solutions and bibliography contained within, this unique book can be used as a reference for research as well as a complementary textbook in graduate courses on gravity, supergravity and string theory.
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Encyclopedia of mathematical physics

Author: Sheung Tsun Tsou

Publisher: Academic Pr

ISBN: 9780125126601

Category: Science

Page: 3500

View: 7518

The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originated from work in mathematical physics by providing them with focused high quality background information. * First comprehensive interdisciplinary coverage * Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields * Written by an international group of experts * Contains several undergraduate-level introductory articles to facilitate acquisition of new expertise * Thematic index and extensive cross-referencing to provide easy access and quick search functionality * Also available online with active linking.
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Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields

Author: Roger Penrose,Wolfgang Rindler

Publisher: Cambridge University Press

ISBN: 9780521337076

Category: Science

Page: 472

View: 4965

This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time.
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Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

Author: Roger Penrose,Wolfgang Rindler

Publisher: Cambridge University Press

ISBN: 9780521347860

Category: Science

Page: 501

View: 9003

Spinor and Twistor Methods in Space-Time Geometry introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. Twistors have, in recent years, attracted increasing attention as a mathematical tool and as a means of gaining new insights into the structure of physical laws. This volume also includes a comprehensive treatment of the conformal approach to space-time infinity with results on general-relativistic mass and angular momentum, a detailed spinorial classification of the full space-time curvature tensor, and an account of the geometry of null geodesics.
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Relativistische Quantentheorie

Eine Einführung in die Quantenfeldtheorie

Author: Norbert Straumann

Publisher: Springer-Verlag

ISBN: 3540269711

Category: Science

Page: 330

View: 9053

Dieser Folgeband zu N. Straumanns "Quantenmechanik" enthält den relativistischen Teil einer zweiteiligen Vorlesung, die der Autor viele Male gehalten hat. Der Stoff ist im Detail ausgearbeitet und durch Kapitel aus der Quantenelektrodynamik ergänzt worden. Das Buch ist eine gründliche Einführung in die Quantenfeldtheorie und ihre Anwendungen. Der rote Faden dieses Lehrbuchs ist die Quantentheorie elektromagnetischer Prozesse. Das erste Kapitel über die alte Diracsche Strahlungstheorie schließt an den Stoff der "Quantenmechanik" an und verweist auf Anwendungen in Atom- und Kernphysik. Dann werden in den Kapiteln zu Diracs Wellengleichung des Elektrons und zur Quantisierung des Dirac-Feldes die wichtigsten Teile der relativistischen Quantentheorie vorgestellt. Die restlichen vier Kapitel widmen sich der Quantenelektrodynamik, z.B. der Bornschen Näherung, der systematischen Herleitung der Feynman-Regeln bis hin zur Behandlung der anomalen magnetischen Momente der Leptonen.
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