Late-time tails of wave maps coupled to gravity

Late-time tails of wave maps coupled to gravity

We consider the late-time asymptotic behavior for solutions of Einstein's equations with the wave map matter. Solutions starting from small compactly supported \(\ell\)-equivariant initial data with \(\ell\geq 1\) are shown to decay as \(t^{-(2\ell+2)}\) at future timelike infinity and as \(u^{...

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Veröffentlicht in:arXiv.org 2009-06
Hauptverfasser: Bizon, Piotr, Chmaj, Tadeusz, Rostworowski, Andrzej, Zajac, Stanislaw
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Einstein equations
Infinity
Physics - General Relativity and Quantum Cosmology
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Zusammenfassung:We consider the late-time asymptotic behavior for solutions of Einstein's equations with the wave map matter. Solutions starting from small compactly supported \(\ell\)-equivariant initial data with \(\ell\geq 1\) are shown to decay as \(t^{-(2\ell+2)}\) at future timelike infinity and as \(u^{-(\ell+1)}\) at future null infinity.
ISSN:2331-8422
DOI:10.48550/arxiv.0906.2919