Late-time tails of a Yang-Mills field on Minkowski and Schwarzschild backgrounds
classification
🌀 gr-qc
hep-thmath.AP
keywords
minkowskibackgroundsdatainitiallate-timeschwarzschildsolutionstails
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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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