Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime

Tsuyoshi Houri, Norihiro Tanahashi, Yukinori Yasui

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1 Citation (Scopus)

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.

Original languageEnglish
Article number075005
JournalClassical and Quantum Gravity
Volume37
Issue number7
DOIs
Publication statusPublished - Apr 9 2020

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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