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General Relativity An Einstein Centenary Survey
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Book Synopsis General Relativity: an Einstein Centenary Survey by : Stephen Hawking
Download or read book General Relativity: an Einstein Centenary Survey written by Stephen Hawking and published by Cambridge University Press. This book was released on 2010-03-18 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: When this book was originally published in 1979, the vitality of Einstein's general theory and its impact on other branches of science had never been greater. The unprecedented advances of the previous fifteen years had been stimulated on the observational side by developments in radar and space technology and by the discovery of exotic astronomical objects, which pointed to the existence of very strong gravitational fields, and possibly black holes, in many parts of the universe. Equally striking had been the progress in theoretical understanding, notably of black hole physics, the early history of the universe and the reconciliation of quantum physics and gravitational theory. To honour Einstein's hundredth birthday, twenty-one of the world's leading relativists collaborated on this carefully integrated survey of the state of research. This unique book, which remained a standard for many years, is indispensable to anyone concerned with the profound influence that Einstein's theory has exerted on our notions of space, time and the ultimate nature of matter.
Book Synopsis General Relativity by : Stephen William Hawking
Download or read book General Relativity written by Stephen William Hawking and published by . This book was released on 1979 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Relativity: An introductory survey by : W. Israel
Download or read book General Relativity: An introductory survey written by W. Israel and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Relativity and Gravitation by : B. Bertotti
Download or read book General Relativity and Gravitation written by B. Bertotti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Tenth International Conference on General Relativity and Gravitation (GR10) was held from July 3 to July 8, 1983, in Padova, Italy. These Conferences take place every three years, under the auspices of the International Society on General Relativity and Gravitation, with the purpose of assessing the current research in the field, critically discussing the prog ress made and disclosing the points of paramount im portance which deserve further investigations. The Conference was attended by about 750 scientists active in the various subfields in which the current research on gravitation and general relativity is ar ticulated, and more than 450 communications were sub mitted. In order to fully exploit this great occur rence of experience and creative capacity, and to pro mote individual contributions to the collective know ledge, the Conference was given a structure of work shops on the most active topics and of general sessions in which the Conference was addressed by invited speakers on general reviews or recent major advance ments of the field. The individual communications were collected in a two-volume publication made available to the participants upon their arrival and widely distributed to Scientific Institutions and Research Centres.
Book Synopsis General Relativity: Black hole astrophysics by : W. Israel
Download or read book General Relativity: Black hole astrophysics written by W. Israel and published by . This book was released on 2010 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Relativity by : Robert M. Wald
Download or read book General Relativity written by Robert M. Wald and published by University of Chicago Press. This book was released on 2010-05-15 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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
Book Synopsis General Relativity Research Trends by : Albert Reimer
Download or read book General Relativity Research Trends written by Albert Reimer and published by Nova Publishers. This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Relativity Research Trends
Book Synopsis Theoretical Foundations of Cosmology by : Michael Heller
Download or read book Theoretical Foundations of Cosmology written by Michael Heller and published by World Scientific. This book was released on 1992-04-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used to model space-time and relativistic worlds, and to disclose their physical meaning. After each chapter, philosophical implications of the presented material are commented upon. Both special and general theories of relativity are presented in the book with the stress on their global aspects. Although global mathematical methods are extensively used throughout the book, the definitions of new concepts, short comments and examples make reading smooth without the need to consult other textbooks or review papers. Contents:Manifold Model of Space-TimeRelativistic Model of Space-TimeMethod of Fibre BundlesThe Frame Bundle and General RelativityThe Cosmological ProblemGeometry of the Standard Cosmological ModelBibliographical EssayAppendix. Evolution of Dynamical Space-Time TheoriesReferencesSymbol IndexAuthor and Subject Index Readership: Cosmologists, astronomers and theoretical physicists. keywords:Cosmology;Universe;Standard Cosmological Model;Space-Time;General Relativity;Special Relativity;Geometry of Space-Time;Differential Geometry;Fibre Bundles;Methodological Questions of Cosmology;Philosophy of Cosmology
Book Synopsis 3+1 Formalism in General Relativity by : Éric Gourgoulhon
Download or read book 3+1 Formalism in General Relativity written by Éric Gourgoulhon and published by Springer Science & Business Media. This book was released on 2012-02-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.
Book Synopsis Inner Space/Outer Space by : Edward Kolb
Download or read book Inner Space/Outer Space written by Edward Kolb and published by University of Chicago Press. This book was released on 1986-04 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inner Space/Outer Space brings together much of the exciting work contributing to a new synthesis of modern physics. Particle physicists, concerned with the "inner space" of the atom, are making discoveries that their colleagues in astrophysics, studying outer space, can use to develop and test hypotheses about the events that occurred in the microseconds after the Big Bang and that shaped the universe as we know it today. The papers collected here, from scores of scientists, constitute the proceedings of the first major international conference on research at the interface of particle physics and astrophysics, held in May 1984. The editors have written introductions to each major section that draw out the central themes and elaborate on the primary implications of the papers that follow.
Book Synopsis Introduction to General Relativity by : Lewis Ryder
Download or read book Introduction to General Relativity written by Lewis Ryder and published by Cambridge University Press. This book was released on 2020-01-16 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: A student-friendly style, over 100 illustrations, and numerous exercises are brought together in this textbook for advanced undergraduate and beginning graduate students in physics and mathematics. Lewis Ryder develops the theory of general relativity in detail. Covering the core topics of black holes, gravitational radiation, and cosmology, he provides an overview of general relativity and its modern ramifications. The book contains chapters on gravitational radiation, cosmology, and connections between general relativity and the fundamental physics of the microworld. It explains the geometry of curved spaces and contains key solutions of Einstein's equations - the Schwarzschild and Kerr solutions. Mathematical calculations are worked out in detail, so students can develop an intuitive understanding of the subject, as well as learn how to perform calculations. The book also includes topics concerned with the relation between general relativity and other areas of fundamental physics. Selected solutions for instructors are available under Resources.
Book Synopsis Partial Differential Equations III by : Michael E. Taylor
Download or read book Partial Differential Equations III written by Michael E. Taylor and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis
Book Synopsis Einstein's General Theory of Relativity by : Øyvind Grøn
Download or read book Einstein's General Theory of Relativity written by Øyvind Grøn and published by Springer Science & Business Media. This book was released on 2007-05-04 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis General Relativity and Gravitation by : Abhay Ashtekar
Download or read book General Relativity and Gravitation written by Abhay Ashtekar and published by Cambridge University Press. This book was released on 2015-06-01 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore spectacular advances in cosmology, relativistic astrophysics, gravitational wave science, mathematics, computational science, and the interface of gravitation and quantum physics with this unique celebration of the centennial of Einstein's discovery of general relativity. Twelve comprehensive and in-depth reviews, written by a team of world-leading international experts, together present an up-to-date overview of key topics at the frontiers of these areas, with particular emphasis on the significant developments of the last three decades. Interconnections with other fields of research are also highlighted, making this an invaluable resource for both new and experienced researchers. Commissioned by the International Society on General Relativity and Gravitation, and including accessible introductions to cutting-edge topics, ample references to original research papers, and informative colour figures, this is a definitive reference for researchers and graduate students in cosmology, relativity, and gravitational science.
Book Synopsis Extensions of the Stability Theorem of the Minkowski Space in General Relativity by : Lydia Bieri
Download or read book Extensions of the Stability Theorem of the Minkowski Space in General Relativity written by Lydia Bieri and published by American Mathematical Soc.. This book was released on 2009-06-30 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: A famous result of Christodoulou and Klainerman is the global nonlinear stability of Minkowski spacetime. In this book, Bieri and Zipser provide two extensions to this result. In the first part, Bieri solves the Cauchy problem for the Einstein vacuum equations with more general, asymptotically flat initial data, and describes precisely the asymptotic behavior. In particular, she assumes less decay in the power of $r$ and one less derivative than in the Christodoulou-Klainerman result. She proves that in this case, too, the initial data, being globally close to the trivial data, yields a solution which is a complete spacetime, tending to the Minkowski spacetime at infinity along any geodesic. In contrast to the original situation, certain estimates in this proof are borderline in view of decay, indicating that the conditions in the main theorem on the decay at infinity on the initial data are sharp. In the second part, Zipser proves the existence of smooth, global solutions to the Einstein-Maxwell equations. A nontrivial solution of these equations is a curved spacetime with an electromagnetic field. To prove the existence of solutions to the Einstein-Maxwell equations, Zipser follows the argument and methodology introduced by Christodoulou and Klainerman. To generalize the original results, she needs to contend with the additional curvature terms that arise due to the presence of the electromagnetic field $F$; in her case the Ricci curvature of the spacetime is not identically zero but rather represented by a quadratic in the components of $F$. In particular the Ricci curvature is a constant multiple of the stress-energy tensor for $F$. Furthermore, the traceless part of the Riemann curvature tensor no longer satisfies the homogeneous Bianchi equations but rather inhomogeneous equations including components of the spacetime Ricci curvature. Therefore, the second part of this book focuses primarily on the derivation of estimates for the new terms that arise due to the presence of the electromagnetic field.
Book Synopsis Principles of Quantum General Relativity by : Eduard Prugovecki
Download or read book Principles of Quantum General Relativity written by Eduard Prugovecki and published by World Scientific. This book was released on 1995-01-20 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contents: Survey of Principal Historical DevelopmentsClassical Frame Buddles in General RelativityQuantum Frames and Spacetime LocalizabilityQuantum Geometry over a Classical Base SpacetimeMassive Quantum-Geometic Boson FieldsMassive Quantum-Geometric Fermion FieldsMassless Quantum-Geometric Gauge FieldsQuantum-Geometric Gravity Readership: Theoretical physicists and mathematical physicists. keywords:Quantum Geometry;Quantum Gravity;Quantum-Geometric Fields in Curved Spacetime;Quantum Bundles “The reader gets the impression that the present monograph represents the state of the art in this special discipline of mathematical physics and that new vistas in our understanding of quantum gravity are opened. Valuable résumés after sound mathematical derivations are helpful in understanding the motivation of the author and clarifying his intentions. Therefore, the monograph can be recommended for researchers and those who are interested in the frontiers of the unifying of basic physical phenomena.” B Kämpfer Zeitschrift für Kristallographie
Book Synopsis Approaches to Quantum Gravity by : Daniele Oriti
Download or read book Approaches to Quantum Gravity written by Daniele Oriti and published by Cambridge University Press. This book was released on 2009-03-05 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers. It introduces the most current approaches to this problem, and reviews their main achievements.
