Extremal vacuum black holes in higher dimensions

Pau Figueras, Hari K. Kunduri, James Lucietti, Mukund Rangamani

Research output: Contribution to journalArticlepeer-review

Abstract

We consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2, 1) symmetry in a special case where one has an enhanced rotational symmetry group. We construct examples of vacuum near-horizon geometries using the extremal Myers-Perry black holes and boosted Myers-Perry strings. The latter lead to near-horizon geometries of black ring topology, which in odd spacetime dimensions have the correct number of rotational symmetries to describe an asymptotically flat black object. We argue that a subset of these correspond to the near-horizon limit of asymptotically flat extremal black rings. Using this identification we provide a conjecture for the exact "phase diagram" of extremal vacuum black rings with a connected horizon in odd spacetime dimensions greater than five.

Original languageEnglish
Article number044042
Pages (from-to)-
Number of pages28
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume78
Issue number4
DOIs
Publication statusPublished - Aug 2008

Keywords

  • Black holes
  • EXTREMAL BLACK-HOLES
  • SYMMETRY

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