Symmetry operators for the conformal wave equation in rotating black hole spacetimes
arXiv:2101.06700 · doi:10.1103/PhysRevD.104.084042
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.
arXiv commentv2: extended version which contains discussion of conformally invariant symmetry operators
References in corpus (17)
- Black holes, hidden symmetries, and complete integrability
- Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
- Hidden Symmetries of Higher Dimensional Black Holes and Uniqueness of the Kerr-NUT-(A)dS spacetime
- Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes
- Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
- Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
- Maxwell's Equations in the Myers-Perry Geometry
- On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
- Kerr-NUT-de Sitter Curvature in All Dimensions
- Complete Set of Commuting Symmetry Operators for the Klein-Gordon Equation in Generalized Higher-Dimensional Kerr-NUT-(A)dS Spacetimes
- Generalized Kerr-NUT-de Sitter metrics in all dimensions
- Second order symmetry operators
- Second Order Symmetries of the Conformal Laplacian
- Excitations of the Myers-Perry Black Holes
- On the definition of Quantum Free Particle on Curved Manifolds
- Conformally Coupled Scalar in Rotating Black Hole Spacetimes
- Fully pseudospectral solution of the conformally invariant wave equation on a Kerr background