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Near-Zone Symmetries of Kerr Black Holes
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Near-Zone Symmetries of Kerr Black Holes
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We study the near-zone symmetries of a massless scalar field on four-dimensional black hole backgrounds. We provide a geometric understanding that unifies various recently discovered symmetries as part of an SO(4,2) group. Of these, a subset are exact symmetries of the static sector and give rise to the ladder symmetries responsible for the vanishing of Love numbers. In the Kerr case, we compare different near-zone approximations in the literature, and focus on the implementation that retains the symmetries of the static limit. We also describe the relation to spin-1 and 2 perturbations.
Forward citations
Cited by 8 Pith papers
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Universal Closed Form for Dynamical Love Numbers of Black Holes
Derives a universal closed-form expression for the dynamical response of Schwarzschild black holes using RG resummation and far-zone matching, verified via shell EFT to high orders.
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Dynamical tidal Love numbers of black holes under generic perturbations: Connecting black hole perturbation theory with effective field theory
Dynamical tidal Love numbers for Kerr black holes are obtained to linear frequency order by matching EFT worldline couplings to black-hole perturbation solutions, including spin-induced mode mixing.
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Fermionic Love number of higher-dimensional Reissner-Nordstr\"om black holes
Fermionic tidal Love numbers for D-dimensional RN black holes remain nonzero for all angular momentum l (except extremal cases) and lose their l-dependence as D grows to infinity.
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Tidal Response and Thermodynamics of Black Holes
A new gauge-invariant effective action computes black hole Love numbers without Regge-Wheeler methods, and these numbers determine leading thermodynamic corrections under external perturbations.
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Can wormholes have vanishing Love numbers?
For a specific R=0 wormhole, the magnetic Love number for ℓ=2 vanishes to linear order in the regularization parameter under static axial gravitational perturbations.
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Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
Renormalized dynamical tidal response functions for non-rotating black holes in GR carry inevitable ambiguities from renormalization scheme and flow initial condition, yielding scheme-dependent dynamical tidal Love nu...
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Universal Ladder Structure Across Scales: From Quantum to Black Hole Physics
A symmetry-based litmus test identifies when physical systems governed by second-order ODEs possess ladder structures and constructs them, linking supersymmetric quantum mechanics to Kerr black-hole tidal responses.
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Love numbers of black holes and compact objects
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.
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