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arXiv · 0704.0993

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

Piotr Bizoń·Tadeusz Chmaj·Andrzej Rostworowski
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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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Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski. 2007-04-20. Late-time tails of a Yang-Mills field on Minkowski and Schwarzschild backgrounds. https://doi.org/10.1088/0264-9381%2F24%2F13%2Ff01

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