Search Results for "general-relativity"

General Relativity

General Relativity

  • Author: Robert M. Wald
  • Publisher: University of Chicago Press
  • ISBN: 9780226870373
  • Category: Science
  • Page: 506
  • View: 5430
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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

General Relativity

With Applications to Astrophysics

  • Author: Norbert Straumann
  • Publisher: Springer Science & Business Media
  • ISBN: 3662118270
  • Category: Science
  • Page: 676
  • View: 4198
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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

General Relativity

General Relativity

Proceedings of the Forty Sixth Scottish Universities Summer School in Physics, Aberdeen, July 1995

  • Author: G.S Hall
  • Publisher: Routledge
  • ISBN: 1351446029
  • Category: Science
  • Page: 432
  • View: 1285
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General Relativity provides an unusually broad survey of the current state of this field. Chapters on mathematical relativity cover many topics, including initial value problems, a new approach to the partial differential equations of physics, and work on exact solutions. The chapters on relativistic cosmology and black holes explore cosmology. Other chapters deal with gravitational waves, experimental relativity, quantum gravity, and aspects of computing in relativity. The book will be useful both to postgraduates and to established workers in the field.

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: 6610
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Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski

Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski

Proceedings of 2002 International Conference, Cinvestav, Mexico City, 17-20 September 2002

  • Author: Hugo Garc¡a-Compe n,Bogdan Mielnik,Merced Montesinos
  • Publisher: World Scientific
  • ISBN: 9812700471
  • Category: Science
  • Page: 513
  • View: 6800
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One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles - resembling monk's calligraphy - as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Plebaski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.

General Relativity

General Relativity

An Introduction for Physicists

  • Author: M. P. Hobson,G. P. Efstathiou,A. N. Lasenby
  • Publisher: Cambridge University Press
  • ISBN: 1139447548
  • Category: Science
  • Page: N.A
  • View: 5518
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General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text.

General Relativity, Astrophysics, and Cosmology

General Relativity, Astrophysics, and Cosmology

  • Author: A.K. Raychaudhuri,S. Banerji,A. Banerjee
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387406282
  • Category: Science
  • Page: 312
  • View: 8218
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For about half a century the general theory of relativity attracted little attention from physicists. However, the discovery of compact objects such as quasars and pulsars, as well as candidates for black holes on the one hand, and the microwave background radiation on the other hand completely changed the picture. In addition, developments in elementary particle physics, such as predictions of the behavior of matter at the ultrahigh energies that might have prevailed in the early stages of the big bang, have greatly en hanced the interest in general relativity. These developments created a large body of readers interested in general relativity, and its applications in astrophysics and cosmology. Having neither the time nor the inclination to delve deeply into the technical literature, such readers need a general introduction to the subject before exploring applica tions. It is for these readers that the present volume is intended. Keeping in mind the broad range of interests and wanting to avoid mathematical compli cations as much as possible, we have ventured to combine all three topics relativity, astrophysics, and cosmology-in a single volume. Naturally, we had to make a careful selection of topics to be discussed in order to keep the book to a manageable length.

A First Course in General Relativity

A First Course in General Relativity

  • Author: Bernard Schutz
  • Publisher: Cambridge University Press
  • ISBN: 9781139479004
  • Category: Science
  • Page: N.A
  • View: 3490
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Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz's characteristic ease and authority - from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible. Password protected solutions for instructors are available at www.cambridge.org/9780521887052.

General Relativity

General Relativity

  • Author: N.M.J. Woodhouse
  • Publisher: Springer Science & Business Media
  • ISBN: 9781846284878
  • Category: Science
  • Page: 220
  • View: 3465
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Based on a course taught for years at Oxford, this book offers a concise exposition of the central ideas of general relativity. The focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. Includes links to recent developments, including theoretical work and observational evidence, to encourage further study.

General Theory of Relativity

General Theory of Relativity

  • Author: P. A.M. Dirac
  • Publisher: Princeton University Press
  • ISBN: 1400884195
  • Category: Science
  • Page: 80
  • View: 2964
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Einstein's general theory of relativity requires a curved space for the description of the physical world. If one wishes to go beyond superficial discussions of the physical relations involved, one needs to set up precise equations for handling curved space. The well-established mathematical technique that accomplishes this is clearly described in this classic book by Nobel Laureate P.A.M. Dirac. Based on a series of lectures given by Dirac at Florida State University, and intended for the advanced undergraduate, General Theory of Relativity comprises thirty-five compact chapters that take the reader point-by-point through the necessary steps for understanding general relativity.

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: 9332
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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: 4410
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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

  • Author: I.B. Khriplovich
  • Publisher: Springer Science & Business Media
  • ISBN: 0387274065
  • Category: Science
  • Page: 116
  • View: 7416
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The book is based on the course on general relativity given regularly at the Physics Department of Novosibirsk University. The course, lasting for one semester, consists of 32 hours of lectures and 32 hours of tutorials, plus ho- work of 10 – 12 problems. The exam is passed by 30 – 35 students. The results of the homework and exam give good reasons to believe that at least 20 – 25 of these students really digest the subject. The course requires of students the knowledge of analytical mechanics and classical electrodynamics, including special relativity. Only chapters 7 and 10 of the book are in this respect exceptions: the acquaintance with the notion of spin is useful for studying chapter 7, the fundamentals of thermodynamics and quantum mechanics are necessary for the last chapter. But these parts of thebookcanbeskippedwithoutanylossforunderstandingallotherchapters. The book (as well as the course itself) is in?uenced essentially by the monographbyL.D.LandauandE.M.Lifshitz,TheClassicalTheoryofFields, (Butterworth – Heinemann, 1975). However, I strived to make the exposition as close as possible to a common university course of physics, to make it accessible not only for theorists.

Introduction to General Relativity, Black Holes, and Cosmology

Introduction to General Relativity, Black Holes, and Cosmology

  • Author: Yvonne Choquet-Bruhat
  • Publisher: Oxford University Press, USA
  • ISBN: 0199666466
  • Category: Science
  • Page: 279
  • View: 2560
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General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.

Introduction to General Relativity

Introduction to General Relativity

  • Author: John Dirk Walecka
  • Publisher: World Scientific
  • ISBN: 9812705848
  • Category: Science
  • Page: 342
  • View: 4188
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A working knowledge of Einstein's theory of general relativity is an essential tool for every physicist today. This self-contained book is an introductory text on the subject aimed at first-year graduate students, or advanced undergraduates, in physics that assumes only a basic understanding of classical Lagrangian mechanics. The mechanics problem of a point mass constrained to move without friction on a two-dimensional surface of arbitrary shape serves as a paradigm for the development of the mathematics and physics of general relativity. After reviewing special relativity, the basic principles of general relativity are presented, and the most important applications are discussed. The final special topics section guides the reader through a few important areas of current research.This book will allow the reader to approach the more advanced texts and monographs, as well as the continual influx of fascinating new experimental results, with a deeper understanding and sense of appreciation.

Discontinuities in general relativity

Discontinuities in general relativity

  • Author: Ralph Abraham
  • Publisher: N.A
  • ISBN: N.A
  • Category: Science
  • Page: 64
  • View: 9222
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General Relativity from A to B

General Relativity from A to B

  • Author: Robert Geroch
  • Publisher: University of Chicago Press
  • ISBN: 9780226288642
  • Category: Science
  • Page: 225
  • View: 4940
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"This beautiful little book is certainly suitable for anyone who has had an introductory course in physics and even for some who have not."—Joshua N. Goldberg, Physics Today "An imaginative and convincing new presentation of Einstein's theory of general relativity. . . . The treatment is masterful, continual emphasis being placed on careful discussion and motivation, with the aim of showing how physicists think and develop their ideas."—Choice

Proceedings of the 16th International Conference on General Relativity & Gravitation

Proceedings of the 16th International Conference on General Relativity & Gravitation

Durban, South Africa, 15-21 July 2001

  • Author: Nigel Bishop
  • Publisher: World Scientific
  • ISBN: 9789812776556
  • Category: Science
  • Page: 512
  • View: 6062
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The 16th conference of the International Society on General Relativity and Gravitation (GR16), held at the International Convention Centre in Durban, South Africa, from 15 to 21 July, was attended by 450 delegates from around the world. The scientific programme comprised 18 plenary lectures, one public lecture and 19 workshops which, excepting three plenary lectures, are presented in this proceedings. It was the first major international conference on general relativity and gravitation held on the African continent.

General Relativity for Mathematicians

General Relativity for Mathematicians

  • Author: R.K. Sachs,H.-H. Wu
  • Publisher: Springer Science & Business Media
  • ISBN: 1461299039
  • Category: Mathematics
  • Page: 292
  • View: 5558
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This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).

General Relativistic Dynamics

General Relativistic Dynamics

Extending Einstein's Legacy Throughout the Universe

  • Author: Fred I. Cooperstock
  • Publisher: World Scientific
  • ISBN: 9814271179
  • Category: Science
  • Page: 232
  • View: 810
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This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown OC dark matterOCO required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the OC twin paradoxOCO using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of OC time machinesOCO.