Black hole non-uniqueness via spacetime topology in five dimensions

Hari K. Kunduri, James Lucietti

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Number of pages24
JournalJournal of High Energy Physics
Volume2014
Issue number10
DOIs
Publication statusPublished - Oct 2014

Keywords

  • hep-th
  • gr-qc

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