Homogeneous symmetry operators in Kerr-NUT-AdS spacetimes
- Author(s)
- Finnian Gray, David Kubizňák
- Abstract
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 four-dimensional 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-Tamburino-anti-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.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Charles University Prague
- Journal
- Physical Review D
- Volume
- 109
- Pages
- 084027
- No. of pages
- 16
- ISSN
- 2470-0010
- DOI
- https://doi.org/10.1103/PhysRevD.109.084027
- Publication date
- 04-2024
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics, 103028 Theory of relativity
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/homogeneous-symmetry-operators-in-kerrnutads-spacetimes(add78067-4cf0-43a2-99f8-eab2f204d280).html