The Cauchy problem in general relativity

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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 languageEnglish (US)
Pages421-442
Number of pages22
StatePublished - Dec 1 2006
Event25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain
Duration: Aug 22 2006Aug 30 2006

Other

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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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  • Cite this

    Rodnianski, I. (2006). The Cauchy problem in general relativity. 421-442. Paper presented at 25th International Congress of Mathematicians, ICM 2006, Madrid, Spain.