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E-book
Author Girbau, Joan.

Title Stability by linearization of Einstein's field equation / Joan Girbau, Lluís Bruna
Published Basel : Birkhäuser, ©2010

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Description 1 online resource (xv, 208 pages) : illustrations
Series Progress in physics ; v. 58
Progress in mathematical physics ; v. 58.
Contents I. Pseudo-Riemannian manifolds -- II. Introduction to relativity -- III. Approximation of Einstein's equation by the wave equation -- IV. Cauchy problem for Einstein's equation with matter -- V. Stability by linearization of Einstein's equation, general concepts -- VI. General results on stability by linearization when the submanifold M of V is compact -- VII. Stability by linearization of Einstein's equation at Minkowski's initial metric -- VIII. Stability by linearization of Einstein's equation in Robertson-Walker cosmological models
Summary The concept of linearization stability arises when one compares the solutions to a linearized equation with solutions to the corresponding true equation. This requires a new definition of linearization stability adapted to Einstein's equation. However, this new definition cannot be applied directly to Einstein's equation because energy conditions tie together deformations of the metric and of the stress-energy tensor. Therefore, a background is necessary where the variables representing the geometry and the energy-matter are independent. This representation is given by a well-posed Cauchy problem for Einstein's field equation. This book establishes a precise mathematical framework in which linearization stability of Einstein's equation with matter makes sense. Using this framework, conditions for this type of stability in Robertson-Walker models of the universe are discussed
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Quantum field theory -- Mathematics
Mathematical physics.
Teoría cuántica de campos -- Matemáticas
Física matemática
Mathematical physics
Quantum field theory -- Mathematics
Einstein-Feldgleichungen
Form Electronic book
Author Bruna, Lluís.
ISBN 9783034603041
3034603045