On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime

Tsuyoshi Houri, Norihiro Tanahashi, Yukinori Yasui

研究成果: ジャーナルへの寄稿学術誌査読

9 被引用数 (Scopus)

抄録

We focus on the method recently proposed by Lunin and Frolov-Krtouš-Kubizňák to solve the Maxwell equation on the Kerr-NUT-(A)dS spacetime by separation of variables. In their method, it is crucial that the background spacetime has hidden symmetries because they generate commuting symmetry operators with which the separation of variables can be achieved. In this work we reproduce these commuting symmetry operators in a covariant fashion. We first review the procedure known as the Eisenhart-Duval lift to construct commuting symmetry operators for given equations of motion. Then we apply this procedure to the Lunin-Frolov-Krtouš-Kubizňák (LFKK) equation. It is shown that the commuting symmetry operators obtained for the LFKK equation coincide with the ones previously obtained by Frolov-Krtouš-Kubizňák, up to first-order symmetry operators corresponding to Killing vector fields. We also address the Teukolsky equation on the Kerr-NUT-(A)dS spacetime and its symmetry operator is constructed.

本文言語英語
論文番号015011
ジャーナルClassical and Quantum Gravity
37
1
DOI
出版ステータス出版済み - 2020

!!!All Science Journal Classification (ASJC) codes

  • 物理学および天文学(その他)

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