Linear stability of Einstein-Skyrme black holes

Physics

Scientific paper

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Scientific paper

We analyze the linear stability of black hole solutions of the Einstein-Skyrme system. These solutions, which we have recently found numerically, provide counter examples to the ``no hair'' conjecture for black holes of non-linear matter models. We show that there exist only oscillating radial modes (satisfying the necessary boundary conditions at the horizon and at infinity), with the possible exception of a small region of the two-dimensional parameter space of the black hole configurations. Some numerical evidence for non-linear stability is also discussed.

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