Non-Abelian Magnetized Blackholes and Unstable Attractors

Details Non-Abelian Magnetized Blackholes and Unstable Attractors Non-Abelian Magnetized Blackholes and Unstable Attractors

2006-12-18

arxiv.org/abs/hep-th/0612181v2

Nucl.Phys.B789:225-244,2008

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 3 .eps figures; v2: Stability of minimal charge blackhole emphasized, Refs added

Scientific paper

10.1016/j.nuclphysb.2007.08.003

Fluctuations of non-Abelian gauge fields in a background magnetic flux contain tachyonic modes and hence the background is unstable. We extend these results to the cases where the background flux is coupled to Einstein gravity and show that the corresponding spherically symmetric geometries, which in the absence of a cosmological constant are of the form of Reissner-Nordstrom blackholes or the AdS_2xS^2, are also unstable. We discuss the relevance of these instabilities to several places in string theory including various string compactifications and the attractor mechanism. Our results for the latter imply that the attractor mechanism shown to work for the extremal Abelian charged blackholes, cannot be applied in a straightforward way to the extremal non-Abelian colored blackholes.

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