Black hole non-uniqueness via spacetime topology in five dimensions
Abstract
The domain of outer communication of five-dimensional asymptotically flat stationary spacetimes may possess non-trivial 2-cycles. We discuss how this may lead to a gross violation of black hole uniqueness, beyond the existence of black rings, even for solutions with two commuting rotational symmetries. We illustrate this with a simple example in minimal supergravity; a four parameter family of supersymmetric black hole solutions, with spherical horizon topology and a 2-cycle in the exterior. We show there are black holes in this family with identical conserved changes to the BMPV black hole, thereby demonstrating black hole non-uniqueness in this context. We find a decoupling limit of this family of black holes that yields spacetimes asymptotic to the near-horizon geometry of a BMPV black hole which contain a black hole and an exterior 2-cycle.
Keywords
Cite
@article{arxiv.1407.8002,
title = {Black hole non-uniqueness via spacetime topology in five dimensions},
author = {Hari K. Kunduri and James Lucietti},
journal= {arXiv preprint arXiv:1407.8002},
year = {2017}
}
Comments
24 pages. v2: minor additions, published version. v3: corrected physical quantities, results unaffected, differs from published version