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  Late-time tails of a Yang-Mills field on Minkowski and Schwarzschild backgrounds

Bizon, P., Chmaj, T., & Rostworowski, A. (2007). Late-time tails of a Yang-Mills field on Minkowski and Schwarzschild backgrounds. Classical and Quantum Gravity, 24(13), F55-F63. doi:10.1088/0264-9381/24/13/F01.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4912-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4913-8
Genre: Journal Article

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 Creators:
Bizon, Piotr1, Author
Chmaj, Tadeusz, Author
Rostworowski, Andrzej, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: We study the late-time behavior of spherically symmetric solutions of the Yang-Mills equations on Minkowski and Schwarzschild backgrounds. Using nonlinear perturbation theory we show in both cases that solutions having smooth compactly supported initial data posses tails which decay as $t^{-4}$ at timelike infinity. Moreover, for small initial data on Minkowski background we derive the third-order formula for the amplitude of the tail and confirm numerically its accuracy.

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 Dates: 2007
 Publication Status: Issued
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 Identifiers: eDoc: 316791
DOI: 10.1088/0264-9381/24/13/F01
Other: arXiv:0704.0993
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 24 (13) Sequence Number: - Start / End Page: F55 - F63 Identifier: -