Towards higher dimensional black rings

Abstract

Despite all attempts, exact solutions for black rings in more than five dimensions remain elusive. In this paper we clarify some of the reasons for that, in particular we show that a peculiar symmetry of the five--dimensional black ring - separability of the base - cannot occur in dimensions higher than five. We also construct supersymmetric solutions that have symmetries of 5D supersymmetric black ring and show that they do not have regular horizons.

11 pages. V2: references added, several typos are fixed. V3: reference added. V4: typo is fixed, several comments added

References in corpus (10)

• Bicycling Black Rings
• Orthogonal black di-ring solution
• Closed conformal Killing-Yano tensor and geodesic integrability
• Killing(-Yano) Tensors in String Theory
• Multi-black rings and the phase diagram of higher-dimensional black holes
• New generalized nonspherical black hole solutions
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• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case
• Spacetimes with a separable Klein-Gordon equation in higher dimensions

Cited by in corpus (1)

• Black Rings in Large $D$ Membrane Paradigm at the First Order