The Cauchy problem in general relativity

Research output: Contribution to conferencePaperpeer-review

4 Scopus citations

Abstract

The paper revisits some of the classical and recent results on the Cauchy problem in General Relativity. Special emphasis is put on the problems concerning existence of a Cauchy development, break-down criteria and stability. The author would like to make a disclaimer that despite its general title the paper is not intended as a comprehensible survey. Due to the space-time constraints many remarkable results and developments are either mentioned briefly or not discussed at all. Most notably this concerns various work on the Einstein equations with matter and symmetry reduced problems.

Original languageAmerican English
Pages421-442
Number of pages22
StatePublished - 2006
Event25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain
Duration: Aug 22 2006Aug 30 2006

Other

Other25th International Congress of Mathematicians, ICM 2006
Country/TerritorySpain
CityMadrid
Period8/22/068/30/06

ASJC Scopus subject areas

  • General Mathematics

Keywords

  • Break-down
  • Einstein equations
  • Existence
  • Stability

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