Evolution Problem General Relativity (21 results)
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Condition: New. Series: Progress in Mathematical Physics. Num Pages: 404 pages, biography. BIC Classification: PBKJ; PBMP; PBW; PHU. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 21. Weight in Grams: 609. . 2011. 2003rd Edition. paperback. . . . .
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
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Condition: New. Series: Progress in Mathematical Physics. Num Pages: 404 pages, biography. BIC Classification: PBKJ; PBMP; PBW; PHU. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 21. Weight in Grams: 609. . 2011. 2003rd Edition. paperback. . . . . Books ship from the US and Ireland.
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Language: English
Published by Springer, 2002
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 404 pp. Englisch.
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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, whic…h concerns the full solution of the radi.
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The global aspects of the problem of evolution equations in general relativity are examined. Central to the work is a revisit of the proof of the global stability of Minkowski space, as presented by Christodoulou and Klainerman (1993).…The focus, therefore, is on 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 asymptotic flat initial data sets. This important monograph is aimed at researchers and graduate students in mathematics, mathematical physics, and physics working in the area of general relativity.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 404 pp. Englisch.
