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: 1308
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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: 2932
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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 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: 1458
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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: 4943
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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.

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: 9026
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A First Course in General Relativity

A First Course in General Relativity

  • Author: Bernard F. Schutz,Director Bernard F Schutz
  • Publisher: Cambridge University Press
  • ISBN: 9780521277037
  • Category: Science
  • Page: 376
  • View: 1123
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General relativity has become one of the central pillars of theoretical physics, with important applications in both astrophysics and high-energy particle physics, and no modern theoretical physicist's education should be regarded as complete without some study of the subject. This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses.

General Relativity

General Relativity

  • Author: I.B. Khriplovich
  • Publisher: Springer Science & Business Media
  • ISBN: 0387274065
  • Category: Science
  • Page: 116
  • View: 1464
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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.

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: 4829
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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 Theory of Relativity

General Theory of Relativity

  • Author: P. A.M. Dirac
  • Publisher: Princeton University Press
  • ISBN: 1400884195
  • Category: Science
  • Page: 80
  • View: 2400
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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.

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: 9431
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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.

Mathematical Problems of General Relativity I

Mathematical Problems of General Relativity I

  • Author: Demetrios Christodoulou
  • Publisher: European Mathematical Society
  • ISBN: 9783037190050
  • Category: Mathematics
  • Page: 147
  • View: 3350
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The domain of application of Einstein's general relativity theory is astronomical systems. One of the mathematical methods analyzed and exploited in the present volume is an extension of Noether's fundamental principle connecting symmetries to conserved quantities. This book is intended for advanced students and researchers seeking an introduction into the methods and applications of general relativity.

Introduction to General Relativity

Introduction to General Relativity

  • Author: John Dirk Walecka
  • Publisher: World Scientific
  • ISBN: 9812705848
  • Category: Science
  • Page: 342
  • View: 2487
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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.

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: 8638
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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.

An Introduction to General Relativity and Cosmology

An Introduction to General Relativity and Cosmology

  • Author: Jerzy Plebanski,Andrzej Krasinski
  • Publisher: Cambridge University Press
  • ISBN: 113945840X
  • Category: Science
  • Page: N.A
  • View: 8706
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General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

General Relativity, Cosmology and Astrophysics

General Relativity, Cosmology and Astrophysics

Perspectives 100 years after Einstein's stay in Prague

  • Author: Jiří Bičák,Tomáš Ledvinka
  • Publisher: Springer
  • ISBN: 3319063499
  • Category: Science
  • Page: 535
  • View: 3300
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The articles included in this Volume represent a broad and highly qualified view on the present state of general relativity, quantum gravity, and their cosmological and astrophysical implications. As such, it may serve as a valuable source of knowledge and inspiration for experts in these fields, as well as an advanced source of information for young researchers. The occasion to gather together so many leading experts in the field was to celebrate the centenary of Einstein's stay in Prague in 1911-1912. It was in fact during his stay in Prague that Einstein started in earnest to develop his ideas about general relativity that fully developed in his paper in 1915. Approaching soon the centenary of his famous paper, this volume offers a precious overview of the path done by the scientific community in this intriguing and vibrant field in the last century, defining the challenges of the next 100 years. The content is divided into four broad parts: (i) Gravity and Prague, (ii) Classical General Relativity, (iii) Cosmology and Quantum Gravity, and (iv) Numerical Relativity and Relativistic Astrophysics.

General Relativity Research Trends

General Relativity Research Trends

  • Author: Albert Reimer
  • Publisher: Nova Publishers
  • ISBN: 9781594543234
  • Category: Science
  • Page: 218
  • View: 8793
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General Relativity Research Trends

General Relativity

General Relativity

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

  • Author: G.S Hall,J.R Pulham
  • Publisher: CRC Press
  • ISBN: 9780750304191
  • Category: Science
  • Page: 432
  • View: 6337
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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.

An Introduction to General Relativity

An Introduction to General Relativity

  • Author: L. P. Hughston,K. P. Tod
  • Publisher: Cambridge University Press
  • ISBN: 9780521339438
  • Category: Mathematics
  • Page: 183
  • View: 8783
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This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.

Lectures on General Relativity

Lectures on General Relativity

  • Author: A. Papapetrou
  • Publisher: Springer Science & Business Media
  • ISBN: 9789027705143
  • Category: Science
  • Page: 203
  • View: 5286
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This book is an elaboration of lecture notes for the graduate course on General Rela tivity given by the author at Boston University in the spring semester of 1972. It is an introduction to the subject only, as the time available for the course was limited. The author of an introduction to General Relativity is faced from the beginning with the difficult task of choosing which material to include. A general criterion as sisting in this choice is provided by the didactic character of the book: Those chapters have to be included in priority, which will be most useful to the reader in enabling him to understand the methods used in General Relativity, the results obtained so far and possibly the problems still to be solved. This criterion is not sufficient to ensure a unique choice. General Relativity has developed to such a degree, that it is impossible to include in an introductory textbook of a reasonable length even a very condensed treatment of all important problems which have been discussed until now and the author is obliged to decide, in a more or less subjective manner, which of the more recent developments to omit. The following lines indicate by means of some examples the kind of choice made in this book.

General Relativity

General Relativity

  • Author: N.M.J. Woodhouse
  • Publisher: Springer Science & Business Media
  • ISBN: 9781846284878
  • Category: Science
  • Page: 220
  • View: 7408
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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.