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Princeton Mathematical Ser.: Global Nonlinear Stability of the Minkowski Space by Sergiu Klainerman and Demetrios Christodoulou (1994, Hardcover)
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About this product
Product Identifiers
PublisherPrinceton University Press
ISBN-100691087776
ISBN-139780691087771
eBay Product ID (ePID)479845
Product Key Features
Number of Pages432 Pages
LanguageEnglish
Publication NameGlobal Nonlinear Stability of the Minkowski Space
Publication Year1994
SubjectGeometry / Non-Euclidean, Geometry / Differential, Time, Mathematical Analysis
TypeTextbook
AuthorSergiu Klainerman, Demetrios Christodoulou
Subject AreaMathematics, Science
SeriesPrinceton Mathematical Ser.
FormatHardcover
Dimensions
Item Weight33.1 Oz
Item Length9.6 in
Item Width6.5 in
Additional Product Features
Intended AudienceCollege Audience
Reviews"This book presents the authors' theorem on the stability of Minkowski space, a landmark in the development of mathematical relativity. The book is quite self-contained.... The book is not easy to read, due to the very technical nature of its contents, but under the circumstances the quality of the exposition is excellent." -- Mathematical Reviews, This book presents the authors' theorem on the stability of Minkowski space, a landmark in the development of mathematical relativity. The book is quite self-contained.... The book is not easy to read, due to the very technical nature of its contents, but under the circumstances the quality of the exposition is excellent., "This book presents the authors' theorem on the stability of Minkowski space, a landmark in the development of mathematical relativity. The book is quite self-contained.... The book is not easy to read, due to the very technical nature of its contents, but under the circumstances the quality of the exposition is excellent."-- Mathematical Reviews
TitleLeadingThe
Series Volume Number41
IllustratedYes
SynopsisThe aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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