Axisymmetric, extremal horizons in the presence of a cosmological constant

Eryk Buk and Jerzy Lewandowski
Phys. Rev. D 103, 104004 – Published 4 May 2021

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.

  • Received 19 February 2021
  • Accepted 2 April 2021

DOI:https://doi.org/10.1103/PhysRevD.103.104004

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Eryk Buk* and Jerzy Lewandowski

  • Faculty of Physics, University of Warsaw, 5 Pasteura Street, 02-093 Warsaw, Poland

  • *ebuk@fuw.edu.pl
  • Jerzy.Lewandowski@fuw.edu.pl

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Issue

Vol. 103, Iss. 10 — 15 May 2021

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