Conformally Coupled Scalar in Rotating Black Hole Spacetimes
High Energy Physics - Theory
2020-05-05 v2 General Relativity and Quantum Cosmology
Abstract
We demonstrate separability of conformally coupled scalar field equation in general (off-shell) Kerr-NUT-AdS spacetimes in all dimensions. The separability is intrinsically characterized by the existence of a complete set of mutually commuting conformal wave operators that can be constructed from a hidden symmetry of the principal Killing-Yano tensor. By token of conformal symmetry, the separability also works for any Weyl rescaled (off-shell) metrics. This is especially interesting in four dimensions where it guarantees separability of a conformally coupled scalar field in the general Plebanski-Demianski spacetime.
Cite
@article{arxiv.2002.05221,
title = {Conformally Coupled Scalar in Rotating Black Hole Spacetimes},
author = {Finnian Gray and Ian Holst and David Kubiznak and Gloria Odak and Dalila M. Pirvu and Tales Rick Perche},
journal= {arXiv preprint arXiv:2002.05221},
year = {2020}
}
Comments
8 pages, no figures v2: upgraded published version