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arXiv · hep-th/0110260

A rotating black ring in five dimensions

Roberto Emparan·Harvey S. Reall
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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.

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Roberto Emparan, Harvey S. Reall. 2002-02-16. A rotating black ring in five dimensions. https://doi.org/10.1103/physrevlett.88.101101

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