Bubbling supertubes and foaming black holes

By I. Bena, N. Warner. 2005

329 citations recorded by the source corpus.

We construct smooth BPS three-charge geometries that resolve the zero-entropy singularity of the U(1)xU(1) invariant black ring. This singularity is resolved by a geometric transition that results in geometries without any branes sources or singularities but with nontrivial topology. These geometries are both ground states of the black ring, and nontrivial microstates of the D1-D5-P system. We also find the form of the geometries that result from the geometric transition of N zero-entropy black rings, and argue that, in general, such geometries give a very large number of smooth bound-state three-charge solutions, parametrized by 6N functions. The generic microstate solution is specified by a four-dimensional hyper-Kaehler geometry of a certain signature, and contains a 'foam' of nontrivial two-spheres. We conjecture that these geometries will account for a significant part of the entropy of the D1-D5-P black hole, and that Mathur's conjecture might reduce to counting certain hyper-Kaehler manifolds.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b4221cb366fda219acd41b4cdc543d4468ea462a

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Citations in the corpus

Black holes, black rings and their microstates (2007, methodology): “We now proceed to construct the general form of bubbling solutions constructed using an ambipolar Gibbons-Hawking base [28, 29, 30].”
Supergravity microstates for BPS black holes and black rings (2005, background): “Work concurrent with this paper is also appearing in [23].”
Exotic Branes in String Theory (2012, background): “[106,107]) do not seem enough to account for the entropy of the 3-charge black hole [107] may be related to the non-geometric nature of exotic branes that have been overlooked.”
Global structure of five-dimensional fuzzballs (2013, methodology): “The conformally rescaled base metric, ds(2)4, is then required to be hyper-Kähler and supersymmetric configurations are obtained by solving the system of equations [10, 11, 26]:”
Plumbing the Abyss: Black ring microstates (2007, methodology): “For reasons of computational simplicity, the metrics on the hyper-Kähler base were usually chosen to be Gibbons-Hawking (GH) metrics and microstate solutions constructed using these metrics have been analyzed extensively [19,20,21,25].”
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].”
The library of Babel: on the origin of gravitational thermodynamics (2005, methodology): “1 Our work is related to the proposals of Mathur and others [6, 7, 8, 9, 10, 11, 12 ] in the context”
Habemus superstratum! A constructive proof of the existence of superstrata (2015, background): “The key ingredient simplifying the task of smoothing the singularities of these solutions is a fourth type of electric field that appears neither in the original five-dimensional U(1)3 ungauged supergravity, where most of the known black hole microstate solutions have been built [24–26], nor in the ”
The fuzzball proposal for black holes (2008, background): “The bubbling geometries [93, 95, 96, 97, 98, 99, 100, 101, 102] are viewed as the most promising candidates for duals to typical black hole microstates.”
Black holes as effective geometries (2008, methodology): “Much of what will be discussed is a review of work by other authors [2, 6, 9, 11, 13, 14, 17] (see also the other references cited earlier and throughout the remainder of the text).”
Quantizing N = 2 multicenter solutions (2008, background): “In particular the entropy function, Σ, that appears in the solution involves a square root and may take imaginary values in some regions (when uplifted to five dimensions this can lead to closed timelike curves [31] [27] [26]).”
Split states, entropy enigmas, holes and halos (2007, background): “utions to M-theory has been discussed in [67, 68, 69], relating some of these solutions in four dimensions to the multiblack hole/black ring and “bubbling” solutions in ﬁve dimensions studied e.g. in [70, 71]; see also [72, 73]. In [69] it was pointed out that the 4d condition of having positive dis”
Black hole bound states in AdS(3) x S**2 (2008, background): “The resultant space typically has non-contractible two-spheres extending between centers with D6 charge and has been referred to as a “bubbling solution” [38].”
Four dimensional black hole microstates: from D-branes to spacetime foam (2006, methodology): “A second picture (see the reviews [3, 4]) suggests that, at least in situations with sufficient supersymmetry, some of the underlying microstates can appear directly in gravity as a sort of “spacetime foam” [3, 4, 5, 6, 7], the details of which are invisible to almost all probes [8].”
Mergers and typical black hole microstates (2006, methodology): “5) 6 Based on the physics of three-charge supertubes [8], one expects generalized hyper-Kähler metrics with N regions of negative signature to be parameterized by 6N functions of one variable [2].”