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

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.

26 pages, 1 figure

References in corpus (3)

• Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
• Rotating Hairy Black Holes
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector

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