Late-time tails of wave maps coupled to gravity

Details Late-time tails of wave maps coupled to gravity Late-time tails of wave maps coupled to gravity

2009-06-16

arxiv.org/abs/0906.2919v1

Class.Quant.Grav.26:225015,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 3 figures

Scientific paper

10.1088/0264-9381/26/22/225015

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.

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