Piotr Bizoń et al 2009 Class. Quantum Grav. 26 225015 doi:10.1088/0264-9381/26/22/225015
Late-time tails of wave maps coupled to gravity
Piotr Bizoń1, Tadeusz Chmaj2,3, Andrzej Rostworowski1 and Stanisław Zając2
Show affiliationsWe 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 ℓ-equivariant initial data with ℓ ≥ 1 decay as t−(2ℓ+2) at future timelike infinity and as u−(ℓ+1) at future null infinity.
- PACS
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04.40.-b Self-gravitating systems; continuous media and classical fields in curved spacetime
- MSC
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83C75 Space-time singularities, cosmic censorship, etc.
83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 22 (21 November 2009)
Received 17 June 2009, in final form 6 September 2009
Published 23 October 2009
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Late-time tails of wave maps coupled to gravity
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