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

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

2007-04-07

arxiv.org/abs/0704.0993v2

Class.Quant.Grav.24:F55-F63,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 3 figures

Scientific paper

10.1088/0264-9381/24/13/F01

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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