Love symmetry in higher-dimensional rotating black hole spacetimes

Gray, Finnian; Keeler, Cynthia; Kubizňák, David; Martin, Victoria

doi:10.1007/JHEP03(2025)036

Love symmetry in higher-dimensional rotating black hole spacetimes

Journal Article · Thu Mar 06 00:00:00 EST 2025 · Journal of High Energy Physics

DOI:https://doi.org/10.1007/JHEP03(2025)036· OSTI ID:2568623

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University of Vienna (Austria)
Arizona State University, Tempe, AZ (United States)
Charles University, Prague (Czech Republic)
University of North Florida, Jacksonville, FL (United States)

We develop a method for constructing a 1-parameter family of globally-defined Love symmetry generators in rotating black hole spacetimes of general dimension. The key ingredient is to focus on the vicinity of the (physical) outer horizon, matching only the radial derivative and the outer horizon pole pieces of the Klein-Gordon operator in the black hole spacetime to the SL(2, ℝ) Casimir operator. After revisiting the 4D Kerr and 5D Myers-Perry cases, the procedure is illustrated on generalized Lense-Thirring spacetimes which describe a wide variety of slowly rotating black hole metrics in any number of dimensions. Such spacetimes are known to admit an extended tower of Killing tensor and Killing vector symmetries and, as demonstrated in this paper, allow for separability of the massive scalar wave equation in Myers-Perry-like coordinates. Interestingly, separability also occurs in the horizon-penetrating Painlevé–Gullstrand coordinates associated with the freely infalling observer who registers flat space around her all the way to singularity.

View Accepted Manuscript (DOE)

Research Organization:: Arizona State University, Tempe, AZ (United States)

Sponsoring Organization:: Charles University Research Center; Czech Science Foundation; Heising-Simons Foundation; National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0019470

OSTI ID:: 2568623

Journal Information:: Journal of High Energy Physics, Journal Name: Journal of High Energy Physics Journal Issue: 3 Vol. 2025; ISSN 1029-8479

Publisher:: Springer Science and Business Media LLCCopyright Statement

Country of Publication:: United States

Language:: English

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