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

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

2001-11-13

arxiv.org/abs/gr-qc/0111039v2

Class.Quant.Grav. 19 (2002) 689-724

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor modifications to notation, Latex, 45 pages

Scientific paper

10.1088/0264-9381/19/4/305

Using a recently developed perturbation formalism based on curvature quantities, we complete our investigation of 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 even-parity, linear, non-spherically symmetric perturbations. Together with the result from a previous work, we have therefore established the existence of stable hairy black holes and solitons with anti-de Sitter asymptotic.

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