2003/11/13 by Samir D. Mathur, Ashish Saxena, Yogesh K. Srivastava · 1 citation
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1016/j.nuclphysb.2003.12.022
published as Nucl.Phys.B680:415-449,2004 · 37 pages, 7 figures LaTex, Minor revision in the discussion
arxiv created 2003/11/13 · arxiv updated 2009/12/01
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.