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Sprache: Englisch
Verlag: Springer-Verlag New York Inc., New York, 2011
ISBN 10: 1461274087 ISBN 13: 9781461274087
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Paperback. Zustand: new. Paperback. 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. The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Zustand: 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.
Sprache: Englisch
Verlag: Springer-Verlag New York Inc., New York, 2011
ISBN 10: 1461274087 ISBN 13: 9781461274087
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Paperback. Zustand: new. Paperback. 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. The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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In den WarenkorbZustand: 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.
Sprache: Englisch
Verlag: Springer-Verlag New York Inc., 2011
ISBN 10: 1461274087 ISBN 13: 9781461274087
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Taschenbuch. Zustand: Neu. The Evolution Problem in General Relativity | Sergiu Klainerman (u. a.) | Taschenbuch | 400 S. | Englisch | 2011 | Birkhäuser | EAN 9781461274087 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.