Separability of Maxwell equation in rotating black hole spacetime and its geometric aspects
arXiv:1907.08890 · doi:10.2969/aspm/08510407
Abstract
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 of motion of a scalar field that can be solved by separation of variables. In this formalism the differential operators that commute with the operators of the equations of motion, called symmetry operators, played a key role to establish the separable structure. In this work we propose a method to reproduce these commuting symmetry operators in terms of the geometric quantities associated to the hidden symmetry of the background spacetime.
10 pages. Proceedings for the 11th MSJ-SI "The Role of Metrics in the Theory of Partial Differential Equations"; accepted for publication in Advanced Studies in Pure Mathematics