Love symmetry in higher-dimensional rotating black hole spacetimes
arXiv:2409.05964 · doi:10.1007/JHEP03(2025)036
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 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 Painlev{é}--Gullstrand coordinates associated with the freely infalling observer who registers flat space around her all the way to singularity.
arXiv comment34 pages
References in corpus (41)
- Black Hole Entropy is Noether Charge
- The Kerr/CFT Correspondence
- Rotating Charged Black Hole Solution in Heterotic String Theory
- General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
- Rotating Black Holes in Higher Dimensions with a Cosmological Constant
- Hidden Conformal Symmetry of the Kerr Black Hole
- CFT Duals for Extreme Black Holes
- General Rotating Black Holes in String Theory: Greybody Factors and Event Horizons
- Black Rings
- Kerr-AdS/CFT Correspondence in Diverse Dimensions
- Black hole stereotyping: Induced gravito-static polarization
- Black holes, hidden symmetries, and complete integrability
- Quantum Radiation from a 5-Dimensional Rotating Black Hole
- Black Hole Entropy and Soft Hair
- On the Vanishing of Love Numbers for Kerr Black Holes
- Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities
- Static response and Love numbers of Schwarzschild black holes
- Hidden Symmetry of Vanishing Love
- Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
- Love symmetry
- Near-Zone Symmetries of Kerr Black Holes
- Black Hole Monodromy and Conformal Field Theory
- Conformal Symmetry for General Black Holes
- Hidden Conformal Symmetries of Five-Dimensional Black Holes
- Gravitational waves and higher dimensions: Love numbers and Kaluza-Klein excitations
- Conformal structure of the Schwarzschild black hole
- Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
- Love Numbers for Rotating Black Holes in Higher Dimensions
- Exploring Ladder Symmetry and Love Numbers for Static and Rotating Black Holes
- Hidden conformal symmetry for Kerr-Newman-NUT-AdS black holes
- Asymptotically de-Sitter black holes have non-zero tidal Love numbers
- Killing tensor and Carter constant for Painleve-Gullstrand form of Lense-Thirring spacetime
- Generalized hidden Kerr/CFT
- A note on the hidden conformal structure of non-extremal black holes
- Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
- Slowly rotating black holes with exact Killing tensor symmetries
- Painleve-Gullstrand coordinates versus Kerr spacetime geometry
- Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
- Killing tensors of generalized Lense-Thirring space-time
- A Selberg zeta function for warped AdS black holes
- CFT Duals for Black Rings and Black Strings