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arXiv · 2012.15655

Axisymmetric, extremal horizons in the presence of a cosmological constant

Eryk Buk·Jerzy Lewandowski
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Abstract

All axisymmetric solutions to the near-horizon geometry equation with a cosmological constant defined on a topological $2$-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.

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Eryk Buk, Jerzy Lewandowski. 2020-12-31. Axisymmetric, extremal horizons in the presence of a cosmological constant. https://doi.org/10.1103/physrevd.103.104004

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