The Cauchy problem in general relativity

Igor Rodnianski

The Cauchy problem in general relativity

Igor Rodnianski

Mathematics

Research output: Contribution to conference › Paper › peer-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 language	English (US)
Pages	421-442
Number of pages	22
State	Published - 2006
Event	25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain Duration: Aug 22 2006 → Aug 30 2006

Other

Other	25th International Congress of Mathematicians, ICM 2006
Country/Territory	Spain
City	Madrid
Period	8/22/06 → 8/30/06

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Break-down
Einstein equations
Existence
Stability

Cite this

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title = "The Cauchy problem in general relativity",

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.",

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author = "Igor Rodnianski",

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TY - CONF

T1 - The Cauchy problem in general relativity

AU - Rodnianski, Igor

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - Break-down

KW - Einstein equations

KW - Existence

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=84878050320&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878050320&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84878050320

SP - 421

EP - 442

T2 - 25th International Congress of Mathematicians, ICM 2006

Y2 - 22 August 2006 through 30 August 2006

ER -

The Cauchy problem in general relativity

Abstract

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All Science Journal Classification (ASJC) codes

Keywords

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