Love symmetry in higher-dimensional rotating black hole spacetimes
- Author(s)
- Finnian Gray, Cynthia Keeler, David Kubizňák, Victoria Martin
- Abstract
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.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Arizona State University, Charles University Prague, University of North Florida
- Journal
- Journal of High Energy Physics
- Volume
- 2025
- No. of pages
- 34
- ISSN
- 1029-8479
- DOI
- https://doi.org/10.48550/arXiv.2409.05964
- Publication date
- 03-2025
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103012 High energy physics
- Keywords
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/be52d04f-0a0a-4811-a2af-8a70af2179a8