Stability by Linearization of Einstein’s Field Equation

  • Joan Girbau
  • Lluís Bruna
Part of the Progress in Mathematical Physics book series (PMP, volume 58)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Joan Girbau, Lluís Bruna
    Pages 1-17
  3. Joan Girbau, Lluís Bruna
    Pages 19-48
  4. Joan Girbau, Lluís Bruna
    Pages 49-62
  5. Joan Girbau, Lluís Bruna
    Pages 63-108
  6. Back Matter
    Pages 201-208

About this book

Introduction

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

Keywords

Cauchy problem for Einstein’s equation EFE Einstein's equation Gravity Pseudo-Riemannian manifolds Relativity Robertson-Walker models Sobolev spaces Special relativity Stability by linearization general relativity

Authors and affiliations

  • Joan Girbau
    • 1
  • Lluís Bruna
    • 1
  1. 1.Departament de MatemàtiquesUniversitat Autònoma de BarcelonaBarcelonaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0346-0304-1
  • Copyright Information Birkhäuser Basel 2010
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0346-0303-4
  • Online ISBN 978-3-0346-0304-1
  • Series Print ISSN 1544-9998
  • Series Online ISSN 2197-1846
  • About this book