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A Rotating Black Ring Solution in Five Dimensions

Roberto Emparan and Harvey S. Reall
Phys. Rev. Lett. 88, 101101 – Published 21 February 2002
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Abstract

The vacuum Einstein equations in five dimensions are shown to admit a solution describing a stationary asymptotically flat spacetime regular on and outside an event horizon of topology S1×S2. It describes a rotating “black ring.” This is the first example of a stationary asymptotically flat vacuum solution with an event horizon of nonspherical topology. The existence of this solution implies that the uniqueness theorems valid in four dimensions do not have simple five-dimensional generalizations. It is suggested that increasing the spin of a spherical black hole beyond a critical value results in a transition to a black ring, which can have an arbitrarily large angular momentum for a given mass.

  • Received 8 November 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.101101

©2002 American Physical Society

Authors & Affiliations

Roberto Emparan1,* and Harvey S. Reall2

  • 1Theory Division, CERN, CH-1211 Geneva 23, Switzerland
  • 2Physics Department, Queen Mary College, Mile End Road, London E1 4NS, United Kingdom

  • *Also at Departamento de Física Teórica, Universidad del País Vasco, Bilbao, Spain.

See Also

Ring Around the Singularity

JR Minkel
Phys. Rev. Focus 9, 13 (2002)

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Issue

Vol. 88, Iss. 10 — 11 March 2002

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