Non-existence of toroidal cohomogeneity-1 near horizon geometries

Abstract

We prove that $D\ge 5$ dimensional stationary, non-static near horizon geometries with (D-3) rotational symmetries subject to the vacuum Einstein equations including a cosmological constant cannot have toroidal horizon topology. In D=4 dimensions the same result is obtained under the assumption of a non-negative cosmological constant.

8 pages

References in corpus (7)

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Cited by in corpus (1)

• Classification of near-horizon geometries of extremal black holes