Constructing `hair' for the three charge hole
Nov, 200337 pages
Published in:
- Nucl.Phys.B 680 (2004) 415-449
e-Print:
- hep-th/0311092 [hep-th]
Report number:
- OHSTPY-HEP-T-03-012
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Citations per year
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.- 11.25.-w
- 04.65.+e
- 04.70.-s
- membrane model: D-brane
- membrane model: p-brane
- black hole: hair
- charge: 3
- supergravity
- dimension: 10
- analysis: harmonic
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