Duality and -separability of Maxwell equations in Kerr-NUT-(A)dS spacetime
arXiv:1812.08697 · doi:10.1103/PhysRevD.99.044044
Abstract
We study properties of a recently proposed new ansatz for separation of variables in the Maxwell equations in four dimensional Kerr-NUT-(A)dS spacetime. We demonstrate that a dual field, which is also a solution of the source-free Maxwell equations, can be presented in a similar form. This result implies that the corresponding separated equations possess a discrete symmetry under a special transform of the separation parameters.
arXiv comment7 pages, no figures [v3 acknowledgments modified, references corrected]
References in corpus (14)
- Black holes, hidden symmetries, and complete integrability
- Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
- Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes
- Instability of the Proca field on Kerr spacetime
- Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
- Maxwell's Equations in the Myers-Perry Geometry
- Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes
- Charged particle in higher dimensional weakly charged rotating black hole spacetime
- Spinoptics in a stationary spacetime
- Dirac Equation in Kerr-NUT-(A)dS Spacetimes: Intrinsic Characterization of Separability in All Dimensions
- Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets
- Scattering of circularly polarized light by a rotating black hole
- Separation of variables in Maxwell equations in Plebanski-Demianski spacetime
- Photon polarization and geometric phase in general relativity
Cited by in corpus (7)
- Quasinormal modes of massive vector fields on the Kerr spacetime
- Electromagnetic fields on Kerr spacetime, Hertz potentials and Lorenz gauge
- Excitations of the Myers-Perry Black Holes
- Principal Tensor Strikes Again: Separability of Vector Equations with Torsion
- On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime
- Rotating and charged Taub-NUT-(A)dS spacetimes on a 3-brane
- On First Order Symmetry Operators for the Field Equations of Differential Forms