Constructing "hair" for the three charge hole
arXiv:hep-th/0311092 · doi:10.1016/j.nuclphysb.2003.12.022
Abstract
It has been found that the states of the 2-charge extremal D1-D5 system are given by smooth geometries that have no singularity and no horizon individually, but a `horizon' does arise after `coarse-graining'. To see how this concept extends to the 3-charge extremal system, we construct a perturbation on the D1-D5 geometry that carries one unit of momentum charge . The perturbation is found to be regular everywhere and normalizable, so we conclude that at least this state of the 3-charge system behaves like the 2-charge states. The solution is constructed by matching (to several orders) solutions in the inner and outer regions of the geometry. We conjecture the general form of `hair' expected for the 3-charge system, and the nature of the interior of black holes in general.
37 pages, 7 figures LaTex, Minor revision in the discussion
References in corpus (9)
- AdS/CFT duality and the black hole information paradox
- Statistical interpretation of Bekenstein entropy for systems with a stretched horizon
- Supertubes
- Metric of the multiply wound rotating string
- Supergravity Supertubes
- De-singularization by rotation
- Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness
- Rotating deformations of AdS_3\times S^3, the orbifold CFT and strings in the pp-wave limit
- The slowly rotating near extremal D1-D5 system as a `hot tube'
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