The Evolution Problem in General Relativity: 25 - Brossura

Klainerman, Sergiu; Nicolo, Francesco

Brossura

ISBN 10: 1461274087 ISBN 13: 9781461274087

Casa editrice: Birkhäuser, 2011

Riassunto

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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Recensione

"The book . . . gives a new proof of the central part of the theorem of Christodoulou and S. Klainerman, The global nonlinear stability of the Minkowski space . . . The authors prove, working in terms of double null foliations, a nonlinear stability, or global existence for small data, result for exterior domains."

―Mathematical Reviews

"...Important results in this book are presented in a more ‘digestible’ form [than] in the preceding book [‘The global nonlinear stability of the Minkowski space’] and thus scientists and graduate students working in relativity are recommended to read at least the introduction and the conclusions."

―Applications Of Mathematics

"...This important monograph, presenting the detailed proof of an important result in general relativity, is of great interest to researchers and graduate students in mathematics, mathematical physics, and physics in the area of general relativity."

―Studia Universitatis Babes-Bolyai, Series Mathematica

"The main purpose of this book is to revisit the global stability of Minkowski space as set out by D. Chrostodoulou and S. Klainerman (1993). Here the authors 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."

―BookNews 

Contenuti

Preface * Introduction * Analytic methods in the initial value problem * Definitions and results * Estimates for the connection coefficients * Estimates for the curvature tensor * The error estimates * The initial hypersurface and the last slice * Conclusions * Bibliography * Index

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 1461274087
• ISBN 13: 9781461274087
• Rilegatura: Copertina flessibile
• Numero di pagine: 404
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania