Advanced General Relativity

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Author: John Stewart,John M. Stewart

Publisher: Cambridge University Press

ISBN: 9780521449465

Category: Science

Page: 228

View: 8888

A self-contained introduction to advanced general relativity.

Global Lorentzian Geometry, Second Edition

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Author: John K. Beem

Publisher: Routledge

ISBN: 1351444700

Category: Science

Page: 656

View: 5928

Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

Springer Handbook of Spacetime

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Author: Abhay Ashtekar,Vesselin Petkov

Publisher: Springer

ISBN: 3642419925

Category: Science

Page: 950

View: 9187

The Springer Handbook of Spacetime is dedicated to the ground-breaking paradigm shifts embodied in the two relativity theories, and describes in detail the profound reshaping of physical sciences they ushered in. It includes in a single volume chapters on foundations, on the underlying mathematics, on physical and astrophysical implications, experimental evidence and cosmological predictions, as well as chapters on efforts to unify general relativity and quantum physics. The Handbook can be used as a desk reference by researchers in a wide variety of fields, not only by specialists in relativity but also by researchers in related areas that either grew out of, or are deeply influenced by, the two relativity theories: cosmology, astronomy and astrophysics, high energy physics, quantum field theory, mathematics, and philosophy of science. It should also serve as a valuable resource for graduate students and young researchers entering these areas, and for instructors who teach courses on these subjects. The Handbook is divided into six parts. Part A: Introduction to Spacetime Structure. Part B: Foundational Issues. Part C: Spacetime Structure and Mathematics. Part D: Confronting Relativity theories with observations. Part E: General relativity and the universe. Part F: Spacetime beyond Einstein.

Relativity and Gravitation

100 Years after Einstein in Prague

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Author: Jiří Bičák,Tomáš Ledvinka

Publisher: Springer

ISBN: 3319067613

Category: Science

Page: 590

View: 2925

In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem of gravitation. Before he left Prague in July 1912 he had submitted the paper “Relativität und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham” in which he remarkably anticipated what a future theory of gravity should look like. At the occasion of the Einstein-in-Prague centenary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: "Relativity and Gravitation, 100 Years after Einstein in Prague". The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues. The conference attracted over 200 scientists from 31 countries, among them a number of leading experts in the field of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors. Full texts of the plenary talks are included in the volume "General Relativity, Cosmology and Astrophysics--Perspectives 100 Years after Einstein in Prague", eds. J. Bičák and T. Ledvinka, published also by Springer Verlag.

Quantum Gravity

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Author: Carlo Rovelli

Publisher: Cambridge University Press

ISBN: 1139456156

Category: Science

Page: N.A

View: 2244

Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.

Fundamental Interactions and Twistor-like Methods

XIX Max Born Symposium

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Author: Jerzy Lukierski,Dmitri Sorokin

Publisher: American Inst. of Physics

ISBN: 9780735402522

Category: Science

Page: 340

View: 4316

All papers were peer reviewed. The volume contains reports on work done in areas of field theory, supersymmetry, string theory, higher spins, and related topics using group-theoretical and geometrical methods which involve, one way or another, twistor-like techniques (singletons, harmonics, superembeddings, and twistors themselves).

Modern Canonical Quantum General Relativity

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Author: Thomas Thiemann

Publisher: Cambridge University Press

ISBN: 113946759X

Category: Science

Page: N.A

View: 8620

Modern physics rests on two fundamental building blocks: general relativity and quantum theory. General relativity is a geometric interpretation of gravity while quantum theory governs the microscopic behaviour of matter. Since matter is described by quantum theory which in turn couples to geometry, we need a quantum theory of gravity. In order to construct quantum gravity one must reformulate quantum theory on a background independent way. Modern Canonical Quantum General Relativity provides a complete treatise of the canonical quantisation of general relativity. The focus is on detailing the conceptual and mathematical framework, on describing physical applications and on summarising the status of this programme in its most popular incarnation, called loop quantum gravity. Mathematical concepts and their relevance to physics are provided within this book, which therefore can be read by graduate students with basic knowledge of quantum field theory or general relativity.

British Book News

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 6444

Includes no. 53a: British wartime books for young people.

Exact Space-Times in Einstein's General Relativity

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Author: Jerry B. Griffiths,Jiří Podolský

Publisher: Cambridge University Press

ISBN: 1139481169

Category: Science

Page: N.A

View: 7867

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.

Gravity and Strings

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Author: Tomás Ortín

Publisher: Cambridge University Press

ISBN: 9780521035460

Category: Science

Page: 708

View: 7903

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.

Advanced Mechanics and General Relativity

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Author: Joel Franklin

Publisher: Cambridge University Press

ISBN: 113948902X

Category: Science

Page: N.A

View: 8314

Aimed at advanced undergraduates with background knowledge of classical mechanics and electricity and magnetism, this textbook presents both the particle dynamics relevant to general relativity, and the field dynamics necessary to understand the theory. Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.

The Large Scale Structure of Space-Time

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

Publisher: Cambridge University Press

ISBN: 1139810952

Category: Science

Page: N.A

View: 9901

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.

Relativity

An Introduction to Special and General Relativity

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Author: Hans Stephani

Publisher: Cambridge University Press

ISBN: 9780521010696

Category: Science

Page: 396

View: 5288

Thoroughly revised and updated, this textbook provides a pedagogical introduction to relativity. It is self-contained, but the reader is expected to have a basic knowledge of theoretical mechanics and electrodynamics. It covers the most important features of both special and general relativity, as well as touching on more difficult topics, such as the field of charged pole-dipole particles, the Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools (tensor calculus, Riemannian geometry) are provided, most of the derivations are given in full, and exercises are included where appropriate. Written as a textbook for undergraduate and introductory graduate courses, it will also be of use to researchers working in the field. The bibliography gives the original papers and directs the reader to useful monographs and review papers.

Conformal Methods in General Relativity

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Author: Juan Valiente Kroon

Publisher: Cambridge University Press

ISBN: 1107033896

Category: Science

Page: 622

View: 7467

A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein's theory of gravity.

Exact Solutions of Einstein's Field Equations

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Author: Hans Stephani,Dietrich Kramer,Malcolm MacCallum,Cornelius Hoenselaers,Eduard Herlt

Publisher: Cambridge University Press

ISBN: 9780521467025

Category: Science

Page: 732

View: 8652

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.

Quantum Gravity in 2+1 Dimensions

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Author: Steven Carlip,Steven Jonathan Carlip

Publisher: Cambridge University Press

ISBN: 9780521545884

Category: Science

Page: 276

View: 5577

The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Superstring Theory: Volume 1, Introduction

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Author: Michael B Green,Michael B. Green,John H. Schwarz,Edward Witten

Publisher: Cambridge University Press

ISBN: 9780521357524

Category: Science

Page: 484

View: 905

A two-volume systematic exposition of superstring theory and its applications which presents many of the new mathematical tools that theoretical physicists are likely to need in coming years. This volume contains an introduction to superstrings