Constructing "hair" for the three charge hole

Details Constructing "hair" for the three charge hole Constructing "hair" for the three charge hole

2003-11-11

arxiv.org/abs/hep-th/0311092v2

Nucl.Phys.B680:415-449,2004

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 7 figures LaTex, Minor revision in the discussion

Scientific paper

10.1016/j.nuclphysb.2003.12.022

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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