- Open Access
Kerr effective black hole geometries in supergravity
Phys. Rev. D 112, 026007 – Published 2 July, 2025
DOI: https://doi.org/10.1103/zp85-xym1
Abstract
We derive the explicit embedding of the effective Kerr spacetimes, which are pertinent to the vanishing of static Love numbers, soft hair descriptions of Kerr black holes, and low-frequency scalar-Kerr scattering amplitudes, as solutions within supergravity. These spacetimes exhibit a hidden or symmetry resembling the so called subtracted geometries with symmetry, which accurately represent the near-horizon geometry of Kerr black holes and, as we will argue most accurately represents the internal structure of the Kerr black hole. To quantify the differences among the effective Kerr spacetimes, we compare their physical quantities, internal structures, and geodesic equations. Although their thermodynamic properties, including entropy, match those of Kerr, our study uncovers significant differences in the interiors of these effective Kerr solutions. A careful examination of the internal structure of the spacetimes highlights the distinctions between various effective Kerr geometries and their quasinormal spectra.
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References (26)
- M. Cvetič and F. Larsen, Conformal symmetry for black holes in four dimensions, J. High Energy Phys. 09 (2012) 076.
- A. Castro, A. Maloney, and A. Strominger, Hidden conformal symmetry of the Kerr black hole, Phys. Rev. D 82, 024008 (2010).
- B. Kol and M. Smolkin, Black hole stereotyping: Induced gravito-static polarization, J. High Energy Phys. 02 (2012) 010.
- T. Binnington and E. Poisson, Relativistic theory of tidal Love numbers, Phys. Rev. D 80, 084018 (2009).
- A. Le Tiec and M. Casals, Spinning black holes fall in Love, Phys. Rev. Lett. 126, 131102 (2021).
- D. A. Lowe and A. Skanata, Generalized hidden Kerr/CFT, J. Phys. A 45, 475401 (2012).
- L. Hui, A. Joyce, R. Penco, L. Santoni, and A. R. Solomon, Near-zone symmetries of Kerr black holes, J. High Energy Phys. 09 (2022) 049.
- P. Charalambous, S. Dubovsky, and M. M. Ivanov, Hidden symmetry of vanishing Love numbers, Phys. Rev. Lett. 127, 101101 (2021).
- M. Perry and M. J. Rodriguez, Dynamical Love numbers for Kerr black holes, arXiv:2310.03660.
- M. Cvetič and G. W. Gibbons, Conformal symmetry of a black hole as a scaling limit: A black hole in an asymptotically conical box, J. High Energy Phys. 07 (2012) 014.
- M. Cvetič, G. W. Gibbons, and Z. H. Saleem, Thermodynamics of asymptotically conical geometries, Phys. Rev. Lett. 114, 231301 (2015).
- M. Perry and M. J. Rodriguez, Central charges for AdS black holes, Classical Quantum Gravity 39, 045009 (2022).
- M. Cvetič, G. W. Gibbons, and C. N. Pope, Universal area product formulae for rotating and charged black holes in four and higher dimensions, Phys. Rev. Lett. 106, 121301 (2011).
- A. Castro and M. J. Rodriguez, Universal properties and the first law of black hole inner mechanics, Phys. Rev. D 86, 024008 (2012).
- A. Curir and M. Francaviglia, Spin thermodynamics of a Kerr black hole, Nuovo Cimento Soc. Ital. Fis. 52B, 165 (1979).
- Z. W. Chong, M. Cvetič, H. Lu, and C. N. Pope, Charged rotating black holes in four-dimensional gauged and ungauged supergravities, Nucl. Phys. B717, 246 (2005).
- M. Cvetič and D. Youm, Entropy of nonextreme charged rotating black holes in string theory, Phys. Rev. D 54, 2612 (1996).
- D. D. K. Chow and G. Compère, Black holes in supergravity from SO(4,4) hidden symmetries, Phys. Rev. D 90, 025029 (2014).
- A. Virmani, Subtracted geometry from Harrison transformations, J. High Energy Phys. 07 (2012) 086.
- M. Cvetič, M. Guica, and Z. H. Saleem, General black holes, untwisted, J. High Energy Phys. 09 (2013) 017.
- A. Sahay and A. Virmani, Subtracted geometry from Harrison transformations: II, J. High Energy Phys. 07 (2013) 089.
- M. Cvetič and G. W. Gibbons, Exact quasinormal modes for the near horizon Kerr metric, Phys. Rev. D 89, 064057 (2014).
- M. Cvetič, G. W. Gibbons, and Z. H. Saleem, Quasinormal modes for subtracted rotating and magnetized geometries, Phys. Rev. D 90, 124046 (2014).
- S. Hod, Quasinormal resonances of near-extremal Kerr-Newman black holes, Phys. Lett. B 666, 483 (2008).
- U. Keshet and A. Neitzke, Asymptotic spectroscopy of rotating black holes, Phys. Rev. D 78, 044006 (2008).
- C. Keeler and F. Larsen, Separability of black holes in string theory, J. High Energy Phys. 10 (2012) 152.