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. Using the third-order perturbation expansion about the flat spacetime we show that solutions starting from small compactly supported -equivariant initial data with >= 1 decay as t-(2...

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Veröffentlicht in:Classical and quantum gravity 2009-11, Vol.26 (22), p.225015-225015 (10)
Hauptverfasser: Bizoń, Piotr, Chmaj, Tadeusz, Rostworowski, Andrzej, Zając, Stanisław
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
General relativity and gravitation
Physics
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Zusammenfassung:We consider the late-time asymptotic behavior for solutions of Einstein's equations with the wave map matter. Using the third-order perturbation expansion about the flat spacetime we show that solutions starting from small compactly supported -equivariant initial data with >= 1 decay as t-(2+2) at future timelike infinity and as u-(+1) at future null infinity.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/26/22/225015