A Rotating black ring solution in five-dimensions

Oct, 2001
4 pages
Published in:
  • Phys.Rev.Lett. 88 (2002) 101101
e-Print:
Report number:
  • CERN-TH-2001-294

Citations per year

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Abstract:
The vacuum Einstein equations in five dimensions are shown to admit a solution describing an asymptotically flat spacetime regular on and outside an event horizon of topology S^1 x S^2. It describes a rotating ``black ring''. This is the first example of an asymptotically flat vacuum solution with an event horizon of non-spherical topology. There is a range of values for the mass and angular momentum for which there exist two black ring solutions as well as a black hole solution. Therefore the uniqueness theorems valid in four dimensions do not have simple higher dimensional generalizations. It is suggested that increasing the spin of a five dimensional 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.
  • Einstein equation: solution
  • dimension: 5
  • horizon
  • mass
  • angular momentum