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Theory Of General Relativity


Theory Of General Relativity
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The Universe Of General Relativity


The Universe Of General Relativity
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Author : A.J. Kox
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-10

The Universe Of General Relativity written by A.J. Kox and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-10 with Science categories.


Outgrowth of 6th Int'l Conference on the History of General Relativity, held in Amsterdam on June 26-29, 2002 Contributions from notable experts offer both new and historical insights on gravitation, general relativity, cosmology, unified field theory, and the history of science Topics run gamet from detailed mathematical discussions to more personal recollections of relativity as seen through the eyes of the public and renowned relativists



Space Time And Gravitation An Outline Of The General Relativity Theory


Space Time And Gravitation An Outline Of The General Relativity Theory
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Author : Arthur Eddington
language : en
Publisher: Read Books Ltd
Release Date : 2013-04-16

Space Time And Gravitation An Outline Of The General Relativity Theory written by Arthur Eddington and has been published by Read Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-16 with Science categories.


Written by the English astrophysicist, Sir Arthur Eddington (1882-1944), and originally published in 1920, ‘Space, Time and Gravitation’ outlines the general theory of relativity in astrophysics. This fascinating early work navigates Einstein’s theory through a series of perspectives – that of the experimental physicist, pure mathematician, and relativist, making it a wonderful read for the student, teacher or astrophysics enthusiast today. Contents include: Arthur Eddington; Preface; Prologue; ‘What Is Geometry?’; 1 - The Fitzgerald Contraction; 2 – Relativity; 3 - The World of Four Dimensions; 4 - Fields of force; 5 - Kinds of Space; 6 - The New Law of Gravitation and the Old Law; 7 - Weighing Light; 8 - Other Tests of the Theory; 9 - Momentum and Energy; 10 - towards infinity; 11 - Electricity and Gravitation; 12 - On The Nature of Things; Appendix; Mathematical Notes; Historical Note. This classic text is being republished in a modern and affordable edition, complete with reproductions of the original illustrations and a specially written concise biography.



General Relativity


General Relativity
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Author : Hans Stephani
language : en
Publisher: Cambridge University Press
Release Date : 1990-06-29

General Relativity written by Hans Stephani and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-06-29 with Science categories.


This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.



Einstein S General Theory Of Relativity


Einstein S General Theory Of Relativity
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Author : Øyvind Grøn
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-24

Einstein S General Theory Of Relativity written by Øyvind Grøn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-24 with Science categories.


This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.



A Mathematical Introduction To General Relativity


A Mathematical Introduction To General Relativity
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Author : Amol Sasane
language : en
Publisher: World Scientific
Release Date : 2021-08-10

A Mathematical Introduction To General Relativity written by Amol Sasane and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Science categories.


The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences.In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related.In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe.Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to the (over 200) exercises are included.



Introduction To General Relativity


Introduction To General Relativity
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Author : Cosimo Bambi
language : en
Publisher: Springer
Release Date : 2018-06-18

Introduction To General Relativity written by Cosimo Bambi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-18 with Science categories.


Following the approach of Lev Landau and Evgenii Lifshitz, this book introduces the theory of special and general relativity with the Lagrangian formalism and the principle of least action. This method allows the complete theory to be constructed starting from a small number of assumptions, and is the most natural approach in modern theoretical physics. The book begins by reviewing Newtonian mechanics and Newtonian gravity with the Lagrangian formalism and the principle of least action, and then moves to special and general relativity. Most calculations are presented step by step, as is done on the board in class. The book covers recent advances in gravitational wave astronomy and provides a general overview of current lines of research in gravity. It also includes numerous examples and problems in each chapter.



General Theory Of Relativity


General Theory Of Relativity
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Author : P. A.M. Dirac
language : en
Publisher: Princeton University Press
Release Date : 1996-01-28

General Theory Of Relativity written by P. A.M. Dirac and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-28 with Mathematics categories.


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.



The General Theory Of Relativity


The General Theory Of Relativity
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Author : Anadijiban Das
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-26

The General Theory Of Relativity written by Anadijiban Das and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-26 with Science categories.


The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: tensor analysis the special theory of relativity the general theory of relativity and Einstein’s field equations spherically symmetric solutions and experimental confirmations static and stationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupled Einstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland, Jadavpur University, India, Carnegie-Mellon University, USA, and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.



General Theory Of Relativity


General Theory Of Relativity
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Author : C. W. Kilmister
language : en
Publisher: Elsevier
Release Date : 2013-10-22

General Theory Of Relativity written by C. W. Kilmister and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.


General Theory of Relativity deals with the general theory of relativity and covers topics ranging from the principle of equivalence and the space-theory of matter to the hypotheses which lie at the bases of geometry, along with the effect of gravitation on the propagation of light. The motion of particles in general relativity theory is also discussed. This book is comprised of 14 chapters and begins with a review of the principle of equivalence, paying particular attention to the question of the existence of inertial frames in Newtonian mechanics. The beginnings and foundations of general relativity are then considered, together with modern developments in the field. Subsequent chapters explore the general notion of multiply extended magnitudes; the space-theory of matter; the effect of gravitation on light propagation; gravitational waves and the motion of particles in general relativity theory; and homogeneity and covariance. An invariant formulation of gravitational radiation theory is also presented. The last three chapters examine continued gravitational contraction, a spinor approach to general relativity, and gravitational red-shift in nuclear resonance. This monograph will be of interest to physicists and mathematicians.



General Relativity


General Relativity
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Author : I. R. Kenyon
language : en
Publisher: Oxford University Press, USA
Release Date : 1990

General Relativity written by I. R. Kenyon and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Business & Economics categories.


Einstein's general theory of relativity is perhaps the most important perspective to emerge in a century of astonishing progress in the field of physics. However, it is also a notoriously difficult subject for beginning students. This book describes general relativity in terms understandable to undergraduates in physics and astronomy. It discusses concepts and experimental results, and provides a succinct account of formalism. A brief review of special relativity is followed by a discussion of the equivalence principle and its implications. Other topics covered include concepts of curvature and the Schwarzschild metric, tests of the theory of relativity, black holes and their properties, gravitational radiation and methods for its detection, the impact of general relativity on cosmology, and the continuing search for a quantum theory of gravity. A set of worked examples, background appendices, and an annotated bibliography are also included. Written at a level accessible to nonspecialists, this book is especially strong on the experimental physics of relativity.