Stability by Linearization of Einstein's Field Equation

Stability by Linearization of Einstein's Field Equation

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V ? V ?K? , 3 2 2 R ? /?x K i i g V T G g ?T , ? G g g 4 ? R ? ? G ? T g g ? h h ? 2 2 2 2 ? ? ? ? ? ? ? h ?S , ?? ?? 2 2 2 2 2 c ?t ?x ?x ?x 1 2 3 S T S T? T?. ? Iƒ T S 2 2 2 2 ? ? ? ? ? ? ? h . ?? 2 2 2 2 2 c ?t ?x ?x ?x 1 2 3 g h h ?? g T T g vacuum M n R n R Acknowledgements n R Chapter I Pseudo-Riemannian Manifolds I.1 Connections M C n X M C M F M C X M F M connection covariant derivative M ? X M A—X M ?? X M X, Y ?? Y X ? Y ? Y ? Y X +X X X 1 2 1 2 ? Y Y ? Y ? Y X 1 2 X 1 X 2 ? Y f? Y f?F M fX X ? fY X f Y f? Y f?F M X X ? torsion ? Y?? X X, Y X, Y?X M . X Y localization principle Theorem I.1. Let X, Y, X , Y be C vector ?elds on M.Let U be an open set... xtec.cat 2000 Mathematics Subject Classification: 83C05, 83C35, 58J35, 58J45, 58J05, 53C80 Library of Congress ... 4 3 2 1 www.birkhauser.ch (eBook) A les nostres families Contents Introduction Chapter I. Pseudo-Riemannian Manifoldsanbsp;...


Title:Stability by Linearization of Einstein's Field Equation
Author: Lluís Bruna, Joan Girbau
Publisher:Springer Science & Business Media - 2013-11-25
ISBN-13:

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