The weak null condition for Einstein's equations

Hans Lindblad; Igor Rodnianski

doi:10.1016/S1631-073X(03)00231-0

The weak null condition for Einstein's equations

Hans Lindblad
, Igor Rodnianski

Mathematics

Research output: Contribution to journal › Article › peer-review

108 Scopus citations

Abstract

We show that Einstein's equations of General Relativity expressed in wave coordinates satisfy a 'weak null condition'. In a forthcoming article we will use this to prove a global existence result for Einstein's equations in wave coordinates with small initial data.

Original language	English (US)
Pages (from-to)	901-906
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	11
DOIs	https://doi.org/10.1016/S1631-073X(03)00231-0
State	Published - Jun 1 2003

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S1631-073X(03)00231-0

Cite this

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title = "The weak null condition for Einstein's equations",

abstract = "We show that Einstein's equations of General Relativity expressed in wave coordinates satisfy a 'weak null condition'. In a forthcoming article we will use this to prove a global existence result for Einstein's equations in wave coordinates with small initial data.",

author = "Hans Lindblad and Igor Rodnianski",

note = "Funding Information: E-mail addresses: [email protected] (H. Lindblad), [email protected] (I. Rodnianski). 1 HL is supported in part by NSF. IR is a Clay Mathematics Institute Long-Term Prize Fellow. He is supported in part by NSF. Part of this work was done while he was a member at the Institute for Advanced Study.",

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N1 - Funding Information: E-mail addresses: [email protected] (H. Lindblad), [email protected] (I. Rodnianski). 1 HL is supported in part by NSF. IR is a Clay Mathematics Institute Long-Term Prize Fellow. He is supported in part by NSF. Part of this work was done while he was a member at the Institute for Advanced Study.

PY - 2003/6/1

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N2 - We show that Einstein's equations of General Relativity expressed in wave coordinates satisfy a 'weak null condition'. In a forthcoming article we will use this to prove a global existence result for Einstein's equations in wave coordinates with small initial data.

AB - We show that Einstein's equations of General Relativity expressed in wave coordinates satisfy a 'weak null condition'. In a forthcoming article we will use this to prove a global existence result for Einstein's equations in wave coordinates with small initial data.

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The weak null condition for Einstein's equations

Abstract

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