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arXiv · 1907.08890

Separability of Maxwell equation in rotating black hole spacetime and its geometric aspects

Tsuyoshi Houri·Norihiro Tanahashi·Yukinori Yasui
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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.

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Tsuyoshi Houri, Norihiro Tanahashi, Yukinori Yasui. 2019-07-21. Separability of Maxwell equation in rotating black hole spacetime and its geometric aspects. https://doi.org/10.2969/aspm%2F08510407

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