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VOL. 85 | 2020 Separability of Maxwell equation in rotating black hole spacetime and its geometric aspects
Tsuyoshi Houri, Norihiro Tanahashi, Yukinori Yasui

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

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.

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510407

Subjects:
Primary: 35Q61, 83C22, 83C57

Rights: Copyright © 2020 Mathematical Society of Japan

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