Do stringy corrections stabilize coloured black holes?

Abstract

We consider hairy black hole solutions of Einstein-Yang-Mills-Dilaton theory, coupled to a Gauss-Bonnet curvature term, and we study their stability under small, spacetime-dependent perturbations. We demonstrate that the stringy corrections do not remove the sphaleronic instabilities of the coloured black holes with the number of unstable modes being equal to the number of nodes of the background gauge function. In the gravitational sector, and in the limit of an infinitely large horizon, the coloured black holes are also found to be unstable. Similar behaviour is exhibited by the magnetically charged black holes while the bulk of the neutral black holes are proven to be stable under small, gauge-dependent perturbations. Finally, the electrically charged black holes are found to be characterized only by the existence of a gravitational sector of perturbations. As in the case of neutral black holes, we demonstrate that for the bulk of electrically charged black holes no unstable modes arise in this sector.

17 pages, Revtex, comments and a reference added, version to appear in Physical Review D

References in corpus (2)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant

Cited by in corpus (7)

• Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory
• Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant
• Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
• On the Existence of Solutions with a Horizon in Pure Scalar-Gauss-Bonnet Theories
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• Stable black hole solutions with non-Abelian fields