FAST TRACK COMMUNICATION: Late-time tails of a Yang Mills field on Minkowski and Schwarzschild backgrounds

@article{Bizon2007FASTTC,
  title={FAST TRACK COMMUNICATION: Late-time tails of a Yang Mills field on Minkowski and Schwarzschild backgrounds},
  author={P. Bizo'n and T. Chmaj and A. Rostworowski},
  journal={Classical and Quantum Gravity},
  year={2007}
}
We study the late-time behaviour 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 possess 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 numerically confirm its accuracy. 

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