The Conformal Structure Of Space Times
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Author | : Jörg Frauendiener |
Publisher | : Springer |
Total Pages | : 382 |
Release | : 2008-01-11 |
Genre | : Science |
ISBN | : 3540458182 |
Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. The present book reviews these aspects from the analytical, geometrical and numerical points of view. Care has been taken to present the material in a way that will also be accessible to postgraduate students and nonspecialist reseachers from related fields.
Author | : S. W. Hawking |
Publisher | : Cambridge University Press |
Total Pages | : 406 |
Release | : 1975-02-27 |
Genre | : Science |
ISBN | : 1139810952 |
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.
Author | : Stephen W. Hawking |
Publisher | : Cambridge University Press |
Total Pages | : 413 |
Release | : 2023-02-16 |
Genre | : Science |
ISBN | : 1009253158 |
This influential work explores Einstein's General Theory of Relativity and its predictions relating to singularities in space-time.
Author | : Jerry B. Griffiths |
Publisher | : Cambridge University Press |
Total Pages | : 544 |
Release | : 2009-10-15 |
Genre | : Science |
ISBN | : 1139481169 |
Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
Author | : Roger Penrose |
Publisher | : Cambridge University Press |
Total Pages | : 516 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : 9780521347860 |
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.
Author | : Karl Grandin |
Publisher | : World Scientific |
Total Pages | : 396 |
Release | : 2024-02-21 |
Genre | : Medical |
ISBN | : 9811290121 |
The Nobel Prizes is the official yearbook of the Nobel Foundation. This edition provides extensive information about the 2020 laureates: their Nobel Prize lectures and their autobiographies, as well as presentation speeches and background about the Nobel festivities.Published on behalf of the Nobel Foundation.
Author | : David E. Rowe |
Publisher | : Birkhäuser |
Total Pages | : 500 |
Release | : 2018-06-18 |
Genre | : Mathematics |
ISBN | : 1493977083 |
Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.
Author | : |
Publisher | : |
Total Pages | : 1244 |
Release | : 1966 |
Genre | : Aeronautics |
ISBN | : |
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author | : Herbert Pfister |
Publisher | : Springer |
Total Pages | : 187 |
Release | : 2015-02-24 |
Genre | : Science |
ISBN | : 3319150367 |
This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime. Chapter 1 is devoted to an extensive, partly new analysis of the law of inertia. The underlying mathematical and geometrical structure of Newtonian spacetime is presented from a four-dimensional point of view, and some historical difficulties and controversies - in particular the concepts of free particles and straight lines - are critically analyzed, while connections to projective geometry are also explored. The relativistic extensions of the law of gravitation and its intriguing consequences are studied in Chapter 2. This is achieved, following the works of Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the combined conformal and projective structure of spacetime. Specifically, Mach’s fundamental critique of Newton’s concepts of ‘absolute space’ and ‘absolute time’ was a decisive motivation for Einstein’s development of general relativity, and his equivalence principle provided a new perspective on inertia. In Chapter 3 the very special mathematical structure of Einstein’s field equations is analyzed, and some of their remarkable physical predictions are presented. By analyzing different types of dragging phenomena, Chapter 4 reviews to what extent the equivalence principle is realized in general relativity - a question intimately connected to the ‘new force’ of gravitomagnetism, which was theoretically predicted by Einstein and Thirring but which was only recently experimentally confirmed and is thus of current interest.
Author | : John Earman |
Publisher | : U of Minnesota Press |
Total Pages | : 482 |
Release | : 1977-11-25 |
Genre | : Science |
ISBN | : 0816657521 |
Foundations of Space-Time Theories was first published in 1977. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The essays in this volume are based on the papers given at a conference on the philosophical aspects of the space-time theory held under the auspices of the Minnesota Center for Philosophy of Science.