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Stability by Linearization of Einstein's Field Equation

Stability by Linearization of Einstein's Field Equation

Hardcover

Series: Progress in Mathematical Physics, Book 58

General MathematicsPhysics

ISBN10: 3034603037
ISBN13: 9783034603034
Publisher: Springer Nature
Published: Feb 19 2010
Pages: 208
Weight: 1.15
Height: 0.70 Width: 6.10 Depth: 9.10
Language: English
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?. ? ~ 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 ×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

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