TY - JOUR
T1 - Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime
AU - Houri, Tsuyoshi
AU - Tanahashi, Norihiro
AU - Yasui, Yukinori
N1 - Funding Information:
NT is supported by Grant-in-Aid for Scientifc Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan No. 18K03623 and AY 2018 Qdai-jump Research Program of Kyushu University. YY is supported by Grant-in-Aid for Scientifc Research from the Ministry of Education, Culture, Sports, Science and Technology, Japan No. 19K03877.
Publisher Copyright:
© 2020 IOP Publishing Ltd.
PY - 2020/4/9
Y1 - 2020/4/9
N2 - 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.
AB - 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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U2 - 10.1088/1361-6382/ab6e8a
DO - 10.1088/1361-6382/ab6e8a
M3 - Article
AN - SCOPUS:85082425447
SN - 0264-9381
VL - 37
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 7
M1 - 075005
ER -