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On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector

O. Sarbach·E. Winstanley
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Abstract

Using a recently developed perturbation formalism based on curvature quantities, we investigate the linear stability of black holes and solitons with Yang-Mills hair and a negative cosmological constant. We show that those solutions which have no linear instabilities under odd- and even- parity spherically symmetric perturbations remain stable under odd-parity, linear, non-spherically symmetric perturbations.

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O. Sarbach, E. Winstanley. 2001-02-08. On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector. https://doi.org/10.1088/0264-9381%2F18%2F11%2F310

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