Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime
arXiv:1910.13094 · doi:10.1088/1361-6382/ab6e8a
Abstract
We examine hidden symmetry and its relation to the separability of the Maxwell equation on the Wahlquist spacetime. After seeing that the Wahlquist spacetime is a type-D spacetime whose repeated principal null directions are shear-free and geodesic, we show that the spacetime admits three gauged conformal Killing-Yano (GCKY) tensors which are in a relation with torsional conformal Killing-Yano tensors. As a by-product, we obtain an ordinary CKY tensor. We also show that thanks to the GCKY tensors, the Maxwell equation reduces to three Debye equations, which are scalar-type equations, and two of them can be solved by separation of variables.
arXiv comment13 pages, 2 figures, v2: typos corrected
References in corpus (11)
- Maxwell's Equations in the Myers-Perry Geometry
- Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes
- Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation
- Separation of variables in Maxwell equations in Plebanski-Demianski spacetime
- The Wahlquist metric cannot describe an isolated rotating body
- Local metrics admitting a principal Killing-Yano tensor with torsion
- Symmetry operators and decoupled equations for linear fields on black hole spacetimes
- Principal Tensor Strikes Again: Separability of Vector Equations with Torsion
- General Wahlquist Metrics in All Dimensions
- The Wahlquist-Newman solution
- Gauged twistor spinors and symmetry operators