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- catalog abstract ""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. While technical motivation is clearly and systematically provided for this proof, many important related concepts and results, some well established, others new, unfold along the way." "A comprehensive bibliography and index complete this important monograph, aimed at researchers and graduate students in mathematics, mathematical physics, and physics in the area of general relativity."--Jacket.".
- catalog contributor b12778846.
- catalog contributor b12778847.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description ""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. While technical motivation is clearly and systematically provided for this proof, many important related concepts and results, some well established, others new, unfold along the way." "A comprehensive bibliography and index complete this important monograph, aimed at researchers and graduate students in mathematics, mathematical physics, and physics in the area of general relativity."--Jacket.".
- catalog description "1. Introduction. 1.1. Generalities about Lorentz manifolds. 1.2. The Einstein equations. 1.3. Local existence for Einstein's vacuum equations -- 2. Analytic Methods in the Study of the Initial Value Problem. 2.1. Local and global existence for systems of nonlinear wave equations. 2.2. Weyl fields and Bianchi equations in Minkowski spacetime. 2.3. Global nonlinear stability of Minkowski spacetime. 2.4. Structure of the work -- 3. Definitions and Results. 3.1. Connection coefficients. 3.2. Bianchi equations in an Einstein vacuum spacetime. 3.3. Canonical double null foliation of the spacetime. 3.4. Deformation tensors. 3.5. The definitions of the fundamental norms. 3.6. The initial data. 3.7. The Main Theorem.".
- catalog description "Includes bibliographical references (p. [375]-379) and index.".
- catalog extent "xii, 385 p. ;".
- catalog hasFormat "Evolution problem in general relativity.".
- catalog identifier "0817642544 (alk. paper)".
- catalog identifier "3764342544 (alk. paper)".
- catalog isFormatOf "Evolution problem in general relativity.".
- catalog isPartOf "Progress in mathematical physics ; v. 25".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Boston : Birkhäuser,".
- catalog relation "Evolution problem in general relativity.".
- catalog subject "530.11 21".
- catalog subject "Differential equations, partial.".
- catalog subject "Evolution equations.".
- catalog subject "General relativity (Physics)".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "QC173.6 .K57 2003".
- catalog tableOfContents "1. Introduction. 1.1. Generalities about Lorentz manifolds. 1.2. The Einstein equations. 1.3. Local existence for Einstein's vacuum equations -- 2. Analytic Methods in the Study of the Initial Value Problem. 2.1. Local and global existence for systems of nonlinear wave equations. 2.2. Weyl fields and Bianchi equations in Minkowski spacetime. 2.3. Global nonlinear stability of Minkowski spacetime. 2.4. Structure of the work -- 3. Definitions and Results. 3.1. Connection coefficients. 3.2. Bianchi equations in an Einstein vacuum spacetime. 3.3. Canonical double null foliation of the spacetime. 3.4. Deformation tensors. 3.5. The definitions of the fundamental norms. 3.6. The initial data. 3.7. The Main Theorem.".
- catalog title "The evolution problem in general relativity / Sergiu Klainerman, Francesco Nicolò.".
- catalog type "text".