Black lenses in string theory
Abstract
We present a new supersymmetric, asymptotically flat, black hole solution to five-dimensional U(1)^3-supergravity which is regular on and outside an event horizon of lens space topology L(2,1). The solution has seven independent parameters and uplifts to a family of 1/8-supersymmetric D1-D5-P black brane solutions to Type IIB supergravity. The decoupling limit is asymptotically AdS(3) x S^3 x T^4, with a near-horizon geometry that is a twisted product of the near-horizon geometry of the extremal BTZ black hole and L(2,1) x T^4, although it is not (locally) a product space in the bulk. We show that the decoupling limit of a special case of the black lens is related to that of a black ring by spectral flow, thereby supplying an account of its entropy. Analogous solutions of U(1)^N-supergravity are also presented.
Cite
@article{arxiv.1605.01545,
title = {Black lenses in string theory},
author = {Hari K. Kunduri and James Lucietti},
journal= {arXiv preprint arXiv:1605.01545},
year = {2016}
}
Comments
v2. 11 pages, 1 figure, substantial additions: new result which relates a special case of the black lens to a black ring by spectral flow; section on domain of outer communication; minor edits and additions in the main text; included Appendix on black lens solution to U(1)^N supergravity with detailed regularity analysis; references added