Asymptotic Behavior of Mass and Spacetime Geometry
Author | : F. J. Flaherty |
Publisher | : Springer |
Total Pages | : 226 |
Release | : 1984-08 |
Genre | : Science |
ISBN | : |
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Author | : F. J. Flaherty |
Publisher | : Springer |
Total Pages | : 226 |
Release | : 1984-08 |
Genre | : Science |
ISBN | : |
Author | : J. Francis |
Publisher | : |
Total Pages | : |
Release | : 1984 |
Genre | : |
ISBN | : |
Author | : S. Böhme |
Publisher | : Springer Science & Business Media |
Total Pages | : 1157 |
Release | : 2013-12-11 |
Genre | : Science |
ISBN | : 3662123525 |
Astronomy and Astrophysics Abstracts aims to present a comprehensive documen tation of the literature concerning all aspects of astronomy, astrophysics, and their border fields. It is devoted to the recording, summarizing, and indexing of the relevant publications throughout the world. Astronomy and Astrophysics Abstracts is prepared by a special department of the Astronomisches Rechen-Institut under the auspices of the International Astronomical Union. Volume 39 records literature published in 1985 and received before August 15, 1985. Some older documents which we received late and which are not surveyed in earlier volumes are included too. We acknowledge with thanks contributions of our colleagues all over the world. We also express our gratitude to all organiza tions, observatories, and publishers which provide us with complimentary copies of their publications. On account of the introduction of an object index the scope of index information will be considerably enlarged beginning with this volume. In connection with the subject index an additional source to satisfy the needs of retrieval is opened up. Starting with Volume 33, all the recording, correction, and data processing work was done by means of computers. The recording was done by our technical staff members Ms. Helga Ballmann, Ms. Mona El-Choura, Ms. Monika Kohl, Ms. Sylvia Matyssek. Ms. Karin Burkhardt, Ms. Susanne Schlotelburg, and Mr. Stefan Wagner supported our task by careful proofreading. It is a pleasure to thank them all for their encouragement. Heidelberg, September 1985 The Editors Contents Introduction . . . . . . . . . . . .
Author | : Sergiu Klainerman |
Publisher | : Springer Science & Business Media |
Total Pages | : 395 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 146122084X |
The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. Christodoulou and S. Klainerman, [Ch-KI]. We provide a new self-contained proof of the main part of that result, which concerns the full solution of the radiation problem in vacuum, for arbitrary asymptotically flat initial data sets. This can also be interpreted as a proof of the global stability of the external region of Schwarzschild spacetime. The proof, which is a significant modification of the arguments in [Ch-Kl], is based on a double null foliation of spacetime instead of the mixed null-maximal foliation used in [Ch-Kl]. This approach is more naturally adapted to the radiation features of the Einstein equations and leads to important technical simplifications. In the first chapter we review some basic notions of differential geometry that are sys tematically used in all the remaining chapters. We then introduce the Einstein equations and the initial data sets and discuss some of the basic features of the initial value problem in general relativity. We shall review, without proofs, well-established results concerning local and global existence and uniqueness and formulate our main result. The second chapter provides the technical motivation for the proof of our main theorem.
Author | : Juan A. Valiente Kroon |
Publisher | : Cambridge University Press |
Total Pages | : 627 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 1009291343 |
This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
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 | : Thierry Daudé |
Publisher | : Cambridge University Press |
Total Pages | : 381 |
Release | : 2018-01-11 |
Genre | : Mathematics |
ISBN | : 1316649407 |
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
Author | : M. A. H. MacCallum |
Publisher | : CUP Archive |
Total Pages | : 440 |
Release | : 1987-09-24 |
Genre | : Science |
ISBN | : 9780521332965 |
Author | : Robert Everist Greene |
Publisher | : American Mathematical Soc. |
Total Pages | : 681 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : 0821814958 |
The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
Author | : Marcus Kriele |
Publisher | : Springer Science & Business Media |
Total Pages | : 444 |
Release | : 2003-07-01 |
Genre | : Science |
ISBN | : 3540483543 |
One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-’ We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.