Infinitely Coloured Black Holes

Details Infinitely Coloured Black Holes Infinitely Coloured Black Holes

1999-09-03

arxiv.org/abs/hep-th/9909018v1

Class.Quant.Grav.17:1595-1611,2000

Physics

High Energy Physics

High Energy Physics - Theory

23 pages latex2e, two ps figures incorporated

Scientific paper

10.1088/0264-9381/17/7/302

We formulate the field equations for $SU(\infty)$ Einstein-Yang-Mills theory, and find spherically symmetric black-hole solutions. This model may be motivated by string theory considerations, given the enormous gauge symmetries which characterize string theory. The solutions simplify considerably in the presence of a negative cosmological constant, particularly for the limiting cases of a very large cosmological constant or very small gauge field. The situation of an arbitrarily small gauge field is relevant for holography and we comment on the AdS/CFT conjecture in this light. The black holes possess infinite amounts of gauge field hair, and we speculate on possible consequences of this for quantum decoherence, which, however, we do not tackle here.

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