Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Phys. Rev. D 109(8), 16 (2024)
It is well known that the Kerr-Newmann-Unti-Tamburino-anti -de Sitter spacetimes possess hidden symmetries encoded in the so-called principal Killing-Yano tensor. In this paper, focusing on the fourdimensional case, we obtain a number of symmetry operators for scalar, vector, and tensor perturbations, that are of degree 2 (to be defined below) and homogeneous in the principal tensor. In particular, by considering homogeneous operators that are linear, quadratic, and cubic in the principal tensor, we recover a complete set of four mutually commuting operators for scalar perturbations, underlying the separability of (massive) scalar wave equation. Proceeding to vector and tensor perturbations of the Kerr-Newmann-Unti-Tamburinoanti -de Sitter spacetimes, we find a set of seven and eight commuting operators, respectively. It remains to be seen whether such operators can be used to separate the corresponding spin 1 and spin 2 test field equations in these spacetimes.
@article{UTF992,
author = {Gray F. and Kubizňák D.},
title = {{Homogeneous symmetry operators in Kerr-NUT-AdS spacetimes}},
journal = {Phys. Rev. D},
volume = {109},
number = {8},
pages = {16},
year = {2024},
month = {4},
doi = {10.1103/PhysRevD.109.084027},
url = {https://doi.org/10.1103/PhysRevD.109.084027},
}