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

O Sarbach1 and E Winstanley2

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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.


PACS

04.70.-s Physics of black holes

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

MSC

83F05 Cosmology

83C57 Black holes

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 11 (7 June 2001)

Received 14 February 2001



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