Axisymmetric, extremal horizons in the presence of a cosmological constant
2021
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.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
25
References
2
Citations
NaN
KQI