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The Einstein Equations and the Large Scale Behavior of Gravitational Fields

50 Years of the Cauchy Problem in General Relativity

  • Piotr T. Chruściel
  • Helmut Friedrich

Table of contents

  1. Front Matter
    Pages i-xi
  2. Robert Bartnik, Jim Isenberg
    Pages 1-38
  3. Hubert L. Bray, Piotr T. Chruściel
    Pages 39-70
  4. Alan D. Rendall
    Pages 231-250
  5. Lars Andersson, Vincent Moncrief
    Pages 299-330
  6. Gregory J. Galloway
    Pages 379-400
  7. Thierry Barbot, Abdelghani Zeghib
    Pages 401-439
  8. Back Matter
    Pages 479-481

About these proceedings

Introduction

The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out.

Background material on techniques in PDE theory, differential geometry, and causal theory is provided.

Keywords

Cauchy problem Einstein equations Gravity Mathematical physics differential geometry general relativity geometry gravitation relativity solution theory of relativity vacuum

Editors and affiliations

  • Piotr T. Chruściel
    • 1
  • Helmut Friedrich
    • 2
  1. 1.Laboratoire de Mathématiques et de Physique ThéoriqueCNRS UMR 6083ToursFrance
  2. 2.Max-Planck-Institut für GravitationsphysikAm Mühlenberg 1GolmGermany

Bibliographic information