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arXiv · 1910.13094

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

Tsuyoshi Houri·Norihiro Tanahashi·Yukinori Yasui
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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.

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Tsuyoshi Houri, Norihiro Tanahashi, Yukinori Yasui. 2019-10-29. Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime. https://doi.org/10.1088/1361-6382%2Fab6e8a

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