Asymptotic Behavior of Mass and Spacetime Geometry
Author : F. J. Flaherty
Publisher : Springer
Page : 226 pages
File Size : 30,61 MB
Release : 1984-08
Category : Science
ISBN :
Author : F. J. Flaherty
Publisher : Springer
Page : 226 pages
File Size : 30,61 MB
Release : 1984-08
Category : Science
ISBN :
Author : J. Francis
Publisher :
Page : pages
File Size : 22,86 MB
Release : 1984
Category :
ISBN :
Author : S. Böhme
Publisher : Springer Science & Business Media
Page : 1157 pages
File Size : 28,51 MB
Release : 2013-12-11
Category : 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
Page : 395 pages
File Size : 27,42 MB
Release : 2012-12-06
Category : 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
Page : 627 pages
File Size : 37,57 MB
Release : 2023-01-31
Category : 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
Page : 516 pages
File Size : 40,82 MB
Release : 1984
Category : 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
Page : 381 pages
File Size : 34,77 MB
Release : 2018-01-11
Category : 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 : Robert Everist Greene
Publisher : American Mathematical Soc.
Page : 681 pages
File Size : 42,64 MB
Release : 1993
Category : 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 : M. A. H. MacCallum
Publisher : CUP Archive
Page : 440 pages
File Size : 15,4 MB
Release : 1987-09-24
Category : Science
ISBN : 9780521332965
Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
Page : 635 pages
File Size : 47,4 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461220440
The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.