Axisymmetric, extremal horizons in the presence of a cosmological constant
arXiv:2012.15655 · doi:10.1103/PhysRevD.103.104004
Abstract
All axisymmetric solutions to the near-horizon geometry equation with a cosmological constant defined on a topological -sphere were derived. The regularity conditions preventing cone singularity at the poles were accounted for. The one-to-one correspondence of the solutions with the extremal horizons in the Kerr-(anti-)de Sitter spacetimes was found. A solution corresponding to the triply degenerate horizon was identified and characterized. The solutions were also identified among the solutions to the Petrov type D equation.
arXiv comment13 pages, no figures, 1 table
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