paper

On the nonexistence of extreme anti-de Sitter black rings

arXiv:1808.02727 · doi:10.1088/1361-6382/aae351

Abstract

We prove that five-dimensional extreme anti-de Sitter black ring solutions to the vacuum Einstein equations that admit biaxial symmetry do not exist. This is established by demonstrating the nonexistence of five-dimensional, biaxisymmetric, vacuum near-horizon geometries of extreme horizons with a nonzero cosmological constant and ring topology.

6 pages

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