Constructing "hair" for the three charge hole
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.
Cite
@article{arxiv.hep-th/0311092,
title = {Constructing "hair" for the three charge hole},
author = {Samir D. Mathur and Ashish Saxena and Yogesh K. Srivastava},
journal= {arXiv preprint arXiv:hep-th/0311092},
year = {2008}
}
Comments
37 pages, 7 figures LaTex, Minor revision in the discussion