Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Stability by Linearization of Einstein's Field Equation

  • Book
  • © 2010

Overview

Authors:
  1. Joan Girbau

    1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Lluís Bruna

    1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Progress in Mathematical Physics (PMP, volume 58)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Pseudo-Riemannian Manifolds

    • Joan Girbau, Lluís Bruna
    Pages 1-17

  3. Introduction to Relativity

    • Joan Girbau, Lluís Bruna
    Pages 19-48

  4. Approximation of Einstein’s Equation by the Wave Equation

    • Joan Girbau, Lluís Bruna
    Pages 49-62

  5. Cauchy Problem for Einstein’s Equation with Matter

    • Joan Girbau, Lluís Bruna
    Pages 63-108

  6. Stability by Linearization of Einstein’s Equation, General Concepts

    • Joan Girbau, Lluís Bruna
    Pages 109-128

  7. General Results on Stability by Linearization when the Submanifold M of V is Compact

    • Joan Girbau, Lluís Bruna
    Pages 129-147

  8. Stability by Linearization of Einstein’s Equation at Minkowski’s Initial Metric

    • Joan Girbau, Lluís Bruna
    Pages 149-176

  9. Stability by Linearization of Einstein’s Equation in Robertson-Walker Cosmological Models

    • Joan Girbau, Lluís Bruna
    Pages 177-200

  10. Back Matter

    Pages 201-208
    Download chapter PDF
Back to top

Keywords

About this book

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

Reviews

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 Künzle, Mathematical Reviews, Issue 2011 h)

Authors and Affiliations

  • Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

    Joan Girbau, Lluís Bruna

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation