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

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

2001-02-08

arxiv.org/abs/gr-qc/0102033v1

Class.Quant.Grav. 18 (2001) 2125-2146

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, 1 figure

Scientific paper

10.1088/0264-9381/18/11/310

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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