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Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime
Tsuyoshi Houri, Norihiro Tanahashi, Yukinori Yasui
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…
On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime
Tsuyoshi Houri, Norihiro Tanahashi, Yukinori Yasui
We focus on the method recently proposed by Lunin and Frolov-Krtouš-Kubizňák to solve the Maxwell equation on the Kerr-NUT-(A)dS spacetime by separation of variables. In their meth…
Invertible field transformations with derivatives: necessary and sufficient conditions
Eugeny Babichev, Keisuke Izumi, Norihiro Tanahashi +1
We formulate explicitly the necessary and sufficient conditions for the local invertibility of a field transformation involving derivative terms. Our approach is to apply the metho…
Separability of Maxwell equation in rotating black hole spacetime and its geometric aspects
Tsuyoshi Houri, Norihiro Tanahashi, Yukinori Yasui
Recently a new formalism for perturbations of Maxwell's equations on the background of the Kerr-NUT-(A)dS spacetime was proposed, with which the equations are reduced to a equation…