Separability, plane wave limits and black holes
High Energy Physics - Theory
2021-09-22 v1 General Relativity and Quantum Cosmology
Abstract
We present a systematic construction of the Penrose coordinates and plane wave limits of spacetimes for which both the null Hamilton-Jacobi and geodesic equations separate. The method is illustrated for the Kerr-NUT-(A)dS four-dimensional black holes. The plane wave limits of the near horizon geometry of the extreme Kerr black hole are also explored. All near horizon geometries of extreme black holes with a Killing horizon admit Minkowski spacetime as a plane wave limit.
Cite
@article{arxiv.2007.04702,
title = {Separability, plane wave limits and black holes},
author = {G. Papadopoulos},
journal= {arXiv preprint arXiv:2007.04702},
year = {2021}
}
Comments
15 pages