The Evolution Problem in General Relativity
Edition: 1 edition
Publisher: Birkhäuser Boston
Published: December 13, 2002
Language: eng
Format: Hardcover
Number of pages: 400
ISBN-13: 9780817642549
Subjects: Applied mathematics; Differential & Riemannian geometry; Functional analysis; Relativity physics; Relativity; General Relativity Theory; Differential Geometry; Mathematics; Science/Mathematics; Mathematical physics; General relativity (Physics); Applied; Differential Equations; General; Mathematics / Applied; PDEs; general relativity; Geometry - Differential; Evolution equations
First sentence: A Lorentz manifold, or simply a spacetime, consists of a pair (M, g) where M is an orientable (n + 1)-dimensional manifold whose points correspond to physical events and g is a Lorentz metric defined on it, that is, a smooth, nondegenerate 2-covariant symmetric tensor field of signature (n, 1).
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."--BOOK JACKET.