Constructing ‘hair’ for the three charge hole

By Samir D. Mathur, A. Saxena, Y. Srivastava. 2003

157 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/746a575c7d2056ca610261a47a54408755db8bdf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Black holes as effective geometries (2008, background): “An incomplete list of references in this direction includes [ 109 ,14,110,111,112,113,114,115].”
Adding momentum to D1-D5 system (2004, background): “Unfortunately for the ansatz taken in [10] the equations were too complicated to get a solution even on the linearized level, but the authors of [10] made an extensive use of matching techniques to show convincingly that the solution of such linearized equations should exist and it should be regular”
Habemus superstratum! A constructive proof of the existence of superstrata (2015, methodology): “This programme was initiated in [55] and a general discussion at the linearized level can be can be found in [58].”
Large N BPS states and emergent quantum gravity (2005, background): “microscopic supergravity conﬁgurations very close to the singularity, and that the singularity arises from coarse graining of microscopic geometries, similarly to Mathur’s program on AdS3 black holes [47] (see also [48]) and what happens with generic half BPS supergravity solutions [15, 23]. Now wha”
Comments on black holes I: the possibility of complementarity (2012, background): “String theory provides a microscopic explanation for the entropy of black holes [9], and the fuzzball structure of microstates provides a solution to the information paradox [10–31].”
Bubbling supertubes and foaming black holes (2005, background): “Mathur and collaborators have proposed a bold solution to the black hole information paradox [1,2,3].”
The library of Babel: on the origin of gravitational thermodynamics (2005, methodology): “e corresponding to a particular partition would be a complex superposition of the Husimi lumps in Fig. 4, spaced apart in a random way. If we 23Similar comments apply to the non-singular solutions of [6, 7, 8, 11, 12] in the D1-D5 setting. 47 artiﬁcially approximate these Husimi rings as 1s and 0s i”
The fuzzball proposal for black holes (2008, background): “Solutions for three charge black holes and black rings have been discussed in [84, 85, 86, 87, 68, 88, 89, 90, 91, 92].”