Evolution Problem in General Relativity

Klainerman, Sergiu; Nicolo, Francesco

ISBN 10: 1461274087 ISBN 13: 9781461274087

Edit� par Birkhäuser, 2011

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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.

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Titre : Evolution Problem in General Relativity
�diteur : Birkh�user
Date d'�dition : 2011
Reliure : Couverture souple
Etat : As New

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The Evolution Problem in General Relativity (eng)

Klainerman, Sergiu

Edit� par Birkh�user, 2011

ISBN 10 : 1461274087 ISBN 13 : 9781461274087

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The Evolution Problem in General Relativity

Sergiu Klainerman|Francesco Nicolo

Edit� par Birkh�user Boston, 2011

ISBN 10 : 1461274087 ISBN 13 : 9781461274087

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Etat : 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, which concerns the full solution of the radi. N� de r�f. du vendeur 4190025

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The Evolution Problem in General Relativity

Francesco Nicolo

Edit� par Birkh�user Boston Sep 2011, 2011

ISBN 10 : 1461274087 ISBN 13 : 9781461274087

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Taschenbuch. Etat : 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. N� de r�f. du vendeur 9781461274087

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The Evolution Problem in General Relativity

Sergiu Klainerman

Edit� par Birkh�user, Birkh�user Sep 2011, 2011

ISBN 10 : 1461274087 ISBN 13 : 9781461274087

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Taschenbuch. Etat : 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. N� de r�f. du vendeur 9781461274087

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The Evolution Problem in General Relativity (Progress in Mathematical Physics)

Klainerman, Sergiu; Nicolo, Francesco

Edit� par Birkh�user, 2011

ISBN 10 : 1461274087 ISBN 13 : 9781461274087

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The Evolution Problem in General Relativity

Francesco Nicolo

Edit� par Birkh�user Boston, Birkh�user Boston, 2011

ISBN 10 : 1461274087 ISBN 13 : 9781461274087

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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : 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. N� de r�f. du vendeur 9781461274087

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The Evolution Problem in General Relativity

Klainerman, Sergiu; Nicolo, Francesco

Edit� par Birkh?user, 2011

ISBN 10 : 1461274087 ISBN 13 : 9781461274087

Neuf Couverture souple

Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande

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Etat : 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. . . . . N� de r�f. du vendeur V9781461274087

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