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 |
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| creator | Bizon, Piotr Chmaj, Tadeusz Rostworowski, Andrzej Zajac, Stanislaw |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.0906.2919 |
| format | Article |
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| subjects | Asymptotic properties Einstein equations Infinity Physics - General Relativity and Quantum Cosmology |
| title | Late-time tails of wave maps coupled to gravity |
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