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Asymptotic Structure Of Space Time
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Book Synopsis Asymptotic Structure of Space-Time by : F. Esposito
Download or read book Asymptotic Structure of Space-Time written by F. Esposito and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Symposium on Asymptotic Structure of Space-Time (SOASST) was held at the University of Cincinnati, June 14-18, 1976. We had been thinking of organizing a symposium on the properties of "in finity" for several years. The subject had reached a stage of maturity and had also formed a basis for important current investi gations. It was felt that a symposium, together with a publication of the proceedings, would review, summarize, and consolidate, the more mature aspects of the field and serve as an appropriate intro duction to an expanding body of research. We had from the first the enthusiastic support and encouragement of many colleagues; with their cooperation and advice, the Symposium acquired its final form. These proceedings will attest to the value of the Symposium. The Symposium consisted of thirty lectures and had an attendance of approximately one hundred and thirty. The final impetus to our decision to go forward was the Bicen tennial Anniversary of the independence of our country. A most appropriate celebration on a University Campus surely is an intel lectual Symposium which pays honor to the histories and traditional purposes of a University. The Symposium was supported financially by the University of Cincinnatl Bicentennial Committee, the National Science Foundation, the Gravity Research Foundation, and by Armand Knoblaugh, Professor Emeritus of Physics of the University of Cincinnati.
Book Synopsis Asymptotic Structure of Space-time by :
Download or read book Asymptotic Structure of Space-time written by and published by . This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Large Scale Structure of Space-Time by : S. W. Hawking
Download or read book The Large Scale Structure of Space-Time written by S. W. Hawking and published by Cambridge University Press. This book was released on 1975-02-27 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.
Book Synopsis Asymptotic Structure of Space-time with a Positive Cosmological Constant by : Aruna Kesavan
Download or read book Asymptotic Structure of Space-time with a Positive Cosmological Constant written by Aruna Kesavan and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In general relativity a satisfactory framework for describing isolated systems exists when the cosmological constant $\Lambda$ is zero. The detailed analysis of the asymptotic structure of the gravitational field,which constitutes the framework of asymptotic flatness, lays the foundation for research in diverse areas in gravitational science. However, the framework is incomplete in two respects. First, asymptotic flatness provides well-defined expressions for physical observables such as energy and momentum as `charges' of asymptotic symmetries at null infinity, $\scri^+$. But the asymptotic symmetry group, called the Bondi-Metzner-Sachs group is infinite-dimensional and a tensorial expression for the `charge' integral of an arbitrary BMS element is missing. We address this issue by providing a charge formula which is a 2-sphere integral over fields local to the 2-sphere and refers to no extraneous structure.The second, and more significant shortcoming is that observations have established that $\Lambda$ is not zero but positive in our universe. Can the framework describing isolated systems and their gravitational radiation be extended to incorporate this fact? In this dissertation we show that, unfortunately, the standard framework does not extend from the $\Lambda =0$ case to the $\Lambda >0$ case in a physically useful manner. In particular, we do not have an invariant notion of gravitational waves in the non-linear regime, nor an analog of the Bondi `news tensor', nor positive energy theorems. In addition, we argue that the stronger boundary condition of conformal flatness of intrinsic metric on $\scri^+$, which reduces the asymptotic symmetry group from $\Diff$ to the de Sitter group, is insufficient to characterize gravitational fluxes and is physically unreasonable.To obtain guidance for the full non-linear theory with $\Lambda > 0$, linearized gravitational waves in de Sitter space-time are analyzed in detail. i) We show explicitly that conformal flatness of the boundary removes half the degrees of freedom of the gravitational field by hand and is not justified by physical considerations; ii) We obtain gauge invariant expressions of energy-momentum and angular momentum fluxes carried by gravitational waves in terms of fields defined at $\scrip$; iii) We demonstrate that the flux formulas reduce to the familiar ones in Minkowski space-time in spite of the fact that the limit $\Lambda \to 0$ is discontinuous (since, in particular, $\scrip$ changes its space-like character to null in the limit); iv) We obtain a generalization of Einstein's 1918 quadrupole formula for power emission by a linearized source to include a positive $\Lambda$; and, finally v) We show that, although energy of linearized gravitational waves can be arbitrarily negative in general, gravitational waves emitted by physically reasonable sources carry positive energy.
Book Synopsis Proceedings of a Symposium on Asymptotic Structure of Space-time. University of Cincinnati, Ohio. 14-18 June, 1976 by : F. Paul Esposito
Download or read book Proceedings of a Symposium on Asymptotic Structure of Space-time. University of Cincinnati, Ohio. 14-18 June, 1976 written by F. Paul Esposito and published by . This book was released on 1977 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Behavior of Mass and Spacetime Geometry by : Francis J. Flaherty
Download or read book Asymptotic Behavior of Mass and Spacetime Geometry written by Francis J. Flaherty and published by Springer. This book was released on 1984 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Large Scale Structure of Space-Time by : Stephen Hawking
Download or read book The Large Scale Structure of Space-Time written by Stephen Hawking and published by Cambridge University Press. This book was released on 1973 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1973 book discusses Einstein's General Theory of Relativity and its predictions concerning black holes and singularities in space-time itself.
Book Synopsis General Relativity by : Robert Geroch
Download or read book General Relativity written by Robert Geroch and published by Minkowski Institute Press. This book was released on 2013-02-25 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Geroch's lecture notes on general relativity are unique in three main respects. First, the physics of general relativity and the mathematics, which describes it, are masterfully intertwined in such a way that both reinforce each other to facilitate the understanding of the most abstract and subtle issues. Second, the physical phenomena are first properly explained in terms of spacetime and then it is shown how they can be “decomposed” into familiar quantities, expressed in terms of space and time, which are measured by an observer. Third, Geroch's successful pedagogical approach to teaching theoretical physics through visualization of even the most abstract concepts is fully applied in his lectures on general relativity by the use of around a hundred figures. Although the book contains lecture notes written in 1972, it is (and will remain) an excellent introduction to general relativity, which covers its physical foundations, its mathematical formalism, the classical tests of its predictions, its application to cosmology, a number of specific and important issues (such as the initial value formulation of general relativity, signal propagation, time orientation, causality violation, singularity theorems, conformal transformations, and asymptotic structure of spacetime), and the early approaches to quantization of the gravitational field. Geroch's Differential Geometry: 1972 Lecture Notes can serve as a very helpful companion to this book.
Book Synopsis Space-time Structure by : Erwin Schrödinger
Download or read book Space-time Structure written by Erwin Schrödinger and published by . This book was released on 1963 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Behavior of Mass and Spacetime Geometry by : F. J. Flaherty
Download or read book Asymptotic Behavior of Mass and Spacetime Geometry written by F. J. Flaherty and published by Springer. This book was released on 2014-03-12 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Asymptotic Structure of Axisymmetric Radiative Space Times by : Jiří Bičák
Download or read book On the Asymptotic Structure of Axisymmetric Radiative Space Times written by Jiří Bičák and published by . This book was released on 1989 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Springer Handbook of Spacetime by : Abhay Ashtekar
Download or read book Springer Handbook of Spacetime written by Abhay Ashtekar and published by Springer. This book was released on 2014-09-01 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Springer Handbook of Spacetime is dedicated to the ground-breaking paradigm shifts embodied in the two relativity theories, and describes in detail the profound reshaping of physical sciences they ushered in. It includes in a single volume chapters on foundations, on the underlying mathematics, on physical and astrophysical implications, experimental evidence and cosmological predictions, as well as chapters on efforts to unify general relativity and quantum physics. The Handbook can be used as a desk reference by researchers in a wide variety of fields, not only by specialists in relativity but also by researchers in related areas that either grew out of, or are deeply influenced by, the two relativity theories: cosmology, astronomy and astrophysics, high energy physics, quantum field theory, mathematics, and philosophy of science. It should also serve as a valuable resource for graduate students and young researchers entering these areas, and for instructors who teach courses on these subjects. The Handbook is divided into six parts. Part A: Introduction to Spacetime Structure. Part B: Foundational Issues. Part C: Spacetime Structure and Mathematics. Part D: Confronting Relativity theories with observations. Part E: General relativity and the universe. Part F: Spacetime beyond Einstein.
Book Synopsis Space, Time, Matter by : Hermann Weyl
Download or read book Space, Time, Matter written by Hermann Weyl and published by . This book was released on 1922 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Aspects of Quantum Field Theory in Curved Spacetime by : Stephen A. Fulling
Download or read book Aspects of Quantum Field Theory in Curved Spacetime written by Stephen A. Fulling and published by Cambridge University Press. This book was released on 1989-08-24 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.
Book Synopsis The Global Nonlinear Stability of the Minkowski Space (PMS-41) by : Demetrios Christodoulou
Download or read book The Global Nonlinear Stability of the Minkowski Space (PMS-41) written by Demetrios Christodoulou and published by Princeton University Press. This book was released on 2014-07-14 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Asymptotic Analysis in General Relativity by : Thierry Daudé
Download or read book Asymptotic Analysis in General Relativity written by Thierry Daudé and published by Cambridge University Press. This book was released on 2018-01-11 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Global Spacetime Structure by : JB Manchak
Download or read book Global Spacetime Structure written by JB Manchak and published by Cambridge University Press. This book was released on 2020-12-03 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of the global structure of spacetime within the context of general relativity examines the causal and singular structures of spacetime, revealing some of the curious possibilities that are compatible with the theory, such as 'time travel' and 'holes' of various types. Investigations into the epistemic and modal structures of spacetime highlight the difficulties in ruling out such possibilities, unlikely as they may seem at first. The upshot seems to be that what counts as a 'physically reasonable' spacetime structure in modern physics is far from clear.
