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Black Hole Skyrmions with Negative Cosmological Constant

Noriko Shiiki, Nobuyuki Sawado

gr-qcarXiv:gr-qc/0502107

Abstract

We study spherically symmetric black hole solutions with Skyrme hair in the Einstein-Skyrme theory with a negative cosmological constant. The dependence of the skyrmion field configuration on the cosmological constant is examined. The stability is investigated in detail by solving the linearly perturbed equation numerically. It is shown that there exist linearly stable solutions in the branch which represents unstable configuration in the asymptotically flat spacetime.

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