Titel: Stability by Linearization of Einstein's Field Equation (Progress in Mathematical Physics, 58)
Verlag: Birkh�user
Erscheinungsjahr: 2010
Sprache: Englisch
ISBN-10: 3034603037
ISBN-13: 9783034603034
Einband: Hardcover
Zustand: New

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Inhaltsangabe

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

Cr�ticas

From the reviews:

“The authors of the book under review have contributed to this subject over the last ten years by studying the linearization stability for Einstein’s equations with source terms and in cosmological solutions. Here they present the results in a systematic fashion accessible to a reader with some background in differential geometry and partial differential equations.” (Hans-Peter K�nzle, Mathematical Reviews, Issue 2011 h)

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