Symmetry operators for the conformal wave equation in rotating black hole spacetimes
Abstract
We present covariant symmetry operators for the conformal wave equation in the (off-shell) Kerr-NUT-AdS spacetimes. These operators, that are constructed from the principal Killing-Yano tensor, its `symmetry descendants', and the curvature tensor, guarantee separability of the conformal wave equation in these spacetimes. We next discuss how these operators give rise to a full set of conformally invariant mutually commuting operators for the conformally rescaled spacetimes and underlie the -separability of the conformal wave equation therein. Finally, by employing the WKB approximation we derive the associated Hamilton-Jacobi equation with a scalar curvature potential term and show its separability in the Kerr-NUT-AdS spacetimes.
Keywords
Cite
@article{arxiv.2101.06700,
title = {Symmetry operators for the conformal wave equation in rotating black hole spacetimes},
author = {Finnian Gray and Tsuyoshi Houri and David Kubiznak and Yukinori Yasui},
journal= {arXiv preprint arXiv:2101.06700},
year = {2021}
}
Comments
v2: extended version which contains discussion of conformally invariant symmetry operators