On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
Open Access
- 16 May 2001
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 18 (11) , 2125-2146
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.Keywords
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This publication has 26 references indexed in Scilit:
- Monopoles, dyons, and black holes in the four-dimensional Einstein-Yang-Mills theoryPhysical Review D, 2000
- Stable Monopole and Dyon Solutions in the Einstein-Yang-Mills Theory in Asymptotically anti–de Sitter SpacePhysical Review Letters, 2000
- Gravitating non-Abelian solitons and black holes with Yang–Mills fieldsPhysics Reports, 1999
- Existence of stable hairy black holes in su (2) Einstein-Yang-Mills theory with a negative cosmological constantClassical and Quantum Gravity, 1999
- Stability analysis of new solutions of the EYM system with a cosmological constantPhysical Review D, 1996
- Instability proof for Einstein–Yang–Mills solitons and black holes with arbitrary gauge groupsJournal of Mathematical Physics, 1996
- Sphalerons in Einstein-Yang-Mills theoryPhysics Letters B, 1991
- Colored black holesPhysical Review Letters, 1990
- Spherically symmetric static SU(2) Einstein–Yang–Mills fieldsJournal of Mathematical Physics, 1990
- Particlelike Solutions of the Einstein-Yang-Mills EquationsPhysical Review Letters, 1988