Search Results for "classical-general-relativity"

Classical general relativity

Classical general relativity

  • Author: Subrahmanyan Chandrasekhar
  • Publisher: Oxford University Press, USA
  • ISBN: N.A
  • Category: Political Science
  • Page: 112
  • View: 6296
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Because of the vicissitudes of history, the general theory of relativity has never been consistently explored to ascertain whether, in its realm of exact validity, it predicts phenomena which have no counterparts in the Newtonian limit, that is in the limit in which the velocity of light may be considered infinite. Thus, while recent interest in physics has concentrated on such 'frontier areas' as quantum gravity and cosmology, there has also been a quiet but steady progress in the classical domain. The five papers collected in this volume, and presented under the editorship of the famed Nobel Laureate S. Chandrasekhar, illustrate the nature of these advances. Each of them represents developments in areas both of physics and mathematics which disclose unanticipated findings that illustrate the special character of work in these areas. Astrophysicists and mathematical relativists will welcome this unique look at ongoing research.

Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

  • Author: David B. Malament
  • Publisher: University of Chicago Press
  • ISBN: 0226502473
  • Category: Science
  • Page: 368
  • View: 3169
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In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.

Classical Fields

Classical Fields

General Relativity and Gauge Theory

  • Author: Moshe Carmeli
  • Publisher: World Scientific Publishing Company
  • ISBN: 9813105909
  • Category: Science
  • Page: 668
  • View: 9018
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This invaluable book presents gravitation and gauge fields as interrelated topics with a common physical and mathematical foundation, such as gauge theory of gravitation and other fields, giving emphasis to the physicist's point of view. About half of the material is devoted to Einstein's general relativity theory, and the rest to gauge fields that naturally blend well with gravitation, including spinor formulation, classification of SU(2) gauge fields and null-tetrad formulation of the Yang-Mills field in the presence of gravitation. The text includes a useful introduction to the physical foundation of the theory of gravitation. It also provides the mathematical theory of the geometry of curved space-times needed to describe Einstein's general relativity theory.

Classical General Relativity

Classical General Relativity

Proceedings of the Conference on Classical (Non-Quantum) General Relativity, City University, London, 21-22 December 1983

  • Author: W. B. Bonnor,Jamal Nazrul Islam
  • Publisher: CUP Archive
  • ISBN: 9780521267472
  • Category: Science
  • Page: 269
  • View: 8305
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This volume is made up of papers presented at the Conference on Classical General Relativity held at the City University, London, in December 1983. New tests, arising from space experimentation, pulsars and black holes have revitalised the study of Einstein's theory of gravitation (classical general relativity). Nineteen contributors survey recent progress and identify future avenues of research.

General Relativity

General Relativity

With Applications to Astrophysics

  • Author: Norbert Straumann
  • Publisher: Springer Science & Business Media
  • ISBN: 3662118270
  • Category: Science
  • Page: 676
  • View: 5740
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The foundations are thoroughly developed together with the required mathematical background from differential geometry developed in Part III. The author also discusses the tests of general relativity in detail, including binary pulsars, with much space is devoted to the study of compact objects, especially to neutron stars and to the basic laws of black-hole physics. This well-structured text and reference enables readers to easily navigate through the various sections as best matches their backgrounds and perspectives, whether mathematical, physical or astronomical. Very applications oriented, the text includes very recent results, such as the supermassive black-hole in our galaxy and first double pulsar system

Advanced Mechanics and General Relativity

Advanced Mechanics and General Relativity

  • Author: Joel Franklin
  • Publisher: Cambridge University Press
  • ISBN: 113948902X
  • Category: Science
  • Page: N.A
  • View: 8369
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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.

Einstein's Theory of Relativity

Einstein's Theory of Relativity

  • Author: Max Born
  • Publisher: Courier Corporation
  • ISBN: 0486142124
  • Category: Science
  • Page: 400
  • View: 4283
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Semi-technical account includes a review of classical physics (origin of space and time measurements, Ptolemaic and Copernican astronomy, laws of motion, inertia, more) and of Einstein's theories of relativity.

Asymptotic Analysis in General Relativity

Asymptotic Analysis in General Relativity

  • Author: Thierry Daudé,Dietrich Häfner,Jean-Philippe Nicolas
  • Publisher: Cambridge University Press
  • ISBN: 1316649407
  • Category: Mathematics
  • Page: N.A
  • View: 2573
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Introduction to modern methods for classical and quantum fields in general relativity / Thierry Daudé, Dietrich Häfner, and Jean-Philippe Nicolas -- Geometry of black hole spacetimes / Lars Andersson, Thomas B. Ackdahl, and Pieter Blue -- An introduction to Quantum Field Theory on curved space-times / Christian Gerard -- A minicourse on microlocal analysis for wave propagation / Andras Vasy -- An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity / Sean N. Curry and A. Rod Gover

Allgemeine Relativitätstheorie

Allgemeine Relativitätstheorie

  • Author: Hans Stephani,John M. Stewart
  • Publisher: Cambridge University Press
  • ISBN: 9780521379410
  • Category: Science
  • Page: 321
  • View: 1023
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This book is an excellent introduction to the subjects of gravitation and space-time structure. It presumes a good background in special relativity, electrodynamics, and classical mechanics. The book discusses the foundations of Riemannian geometry; the derivation of the Einstein field equations; linearised theory, far fields and gravitational waves; the invariant characterization of exact solutions; gravitational collapse; cosmology; and a final chapter deals with alternative gravitation theories and the problem of quantum gravity. This revised and correct edition brings the experimental evidence up to date. In addition, the sections on quantum gravity have been rewritten and enlarged, and now form a coherent introduction to this subject.

Special Relativity and Classical Field Theory

Special Relativity and Classical Field Theory

The Theoretical Minimum

  • Author: Leonard Susskind,Art Friedman
  • Publisher: Basic Books
  • ISBN: 0465093353
  • Category: Science
  • Page: 448
  • View: 4455
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The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.

A First Course in General Relativity

A First Course in General Relativity

  • Author: Bernard Schutz
  • Publisher: Cambridge University Press
  • ISBN: 0521887054
  • Category: Science
  • Page: 393
  • View: 4562
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Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

Problem Book in Relativity and Gravitation

Problem Book in Relativity and Gravitation

  • Author: Alan P. Lightman,William H. Press,Richard H. Price,Saul A. Teukolsky
  • Publisher: Princeton University Press
  • ISBN: 1400889014
  • Category: Science
  • Page: 616
  • View: 7798
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An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.

General Relativity

General Relativity

  • Author: Robert M. Wald
  • Publisher: University of Chicago Press
  • ISBN: 9780226870373
  • Category: Science
  • Page: 506
  • View: 6959
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"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

General Relativity and Gravitation

General Relativity and Gravitation

Proceedings of the 11th International Conference on General Relativity and Gravitation, 1986

  • Author: M. A. H. MacCallum
  • Publisher: CUP Archive
  • ISBN: 9780521332965
  • Category: Science
  • Page: 407
  • View: 7756
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Principles of Quantum General Relativity

Principles of Quantum General Relativity

  • Author: Eduard Prugove?ki
  • Publisher: World Scientific
  • ISBN: 9789810221386
  • Category: Science
  • Page: 351
  • View: 9508
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This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context.

General Relativity: An introductory survey

General Relativity: An introductory survey

  • Author: W. Israel,Stephen W. Hawking
  • Publisher: Cambridge University Press
  • ISBN: 9780521137997
  • Category: Black holes (Astronomy)
  • Page: 919
  • View: 2096
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Modern Classical Physics

Modern Classical Physics

Optics, Fluids, Plasmas, Elasticity, Relativity, and Statistical Physics

  • Author: Kip S. Thorne,Roger D. Blandford
  • Publisher: Princeton University Press
  • ISBN: 140084889X
  • Category: Science
  • Page: 1552
  • View: 4226
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This first-year, graduate-level text and reference book covers the fundamental concepts and twenty-first-century applications of six major areas of classical physics that every masters- or PhD-level physicist should be exposed to, but often isn't: statistical physics, optics (waves of all sorts), elastodynamics, fluid mechanics, plasma physics, and special and general relativity and cosmology. Growing out of a full-year course that the eminent researchers Kip Thorne and Roger Blandford taught at Caltech for almost three decades, this book is designed to broaden the training of physicists. Its six main topical sections are also designed so they can be used in separate courses, and the book provides an invaluable reference for researchers. Presents all the major fields of classical physics except three prerequisites: classical mechanics, electromagnetism, and elementary thermodynamics Elucidates the interconnections between diverse fields and explains their shared concepts and tools Focuses on fundamental concepts and modern, real-world applications Takes applications from fundamental, experimental, and applied physics; astrophysics and cosmology; geophysics, oceanography, and meteorology; biophysics and chemical physics; engineering and optical science and technology; and information science and technology Emphasizes the quantum roots of classical physics and how to use quantum techniques to elucidate classical concepts or simplify classical calculations Features hundreds of color figures, some five hundred exercises, extensive cross-references, and a detailed index An online illustration package is available to professors

Modern Canonical Quantum General Relativity

Modern Canonical Quantum General Relativity

  • Author: Thomas Thiemann
  • Publisher: Cambridge University Press
  • ISBN: 113946759X
  • Category: Science
  • Page: N.A
  • View: 1424
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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.