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arXiv · hep-th/0311092

Constructing "hair" for the three charge hole

Samir D. Mathur·Ashish Saxena·Yogesh K. Srivastava
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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 $P$. 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.

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Samir D. Mathur, Ashish Saxena, Yogesh K. Srivastava. 2003-11-13. Constructing "hair" for the three charge hole. https://doi.org/10.1016/j.nuclphysb.2003.12.022

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