Uniqueness of Five-Dimensional Supersymmetric Black Holes
High Energy Physics - Theory
2010-02-03 v3
Abstract
A classification of supersymmetric solutions of five dimensional ungauged supergravity coupled to arbitrary many abelian vector multiplets is used to prove a uniqueness theorem for asymptotically flat supersymmetric black holes with regular horizons. It is shown that the near-horizon geometries of solutions for which the scalars and gauge field strengths are sufficiently regular on the horizon are flat space, AdS_3 x S^2, or the near-horizon BMPV solution. Furthermore, the only black hole which has the near-horizon BMPV geometry for its near-horizon geometry is the solution found by Chamseddine and Sabra.
Keywords
Cite
@article{arxiv.hep-th/0404079,
title = {Uniqueness of Five-Dimensional Supersymmetric Black Holes},
author = {Jan B. Gutowski},
journal= {arXiv preprint arXiv:hep-th/0404079},
year = {2010}
}
Comments
15 pages, uses JHEP3.cls. Revised to match published version; reference added, minor alterations to section 3