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Near-Zone Symmetries of Kerr Black Holes

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arxiv 2203.08832 v1 pith:G227AODT submitted 2022-03-16 hep-th astro-ph.HEgr-qc

Near-Zone Symmetries of Kerr Black Holes

Lam Hui , Austin Joyce , Riccardo Penco , Luca Santoni , Adam R. Solomon This is my paper
classification hep-th astro-ph.HEgr-qc
keywords symmetriesnear-zoneblackkerrstaticapproximationsbackgroundscase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Universal Closed Form for Dynamical Love Numbers of Black Holes

    hep-th 2026-06 conditional novelty 8.0

    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.

  2. Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory

    hep-th 2025-12 accept novelty 8.0

    A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.

  3. Dynamical tidal Love numbers of black holes under generic perturbations: Connecting black hole perturbation theory with effective field theory

    gr-qc 2026-05 unverdicted novelty 7.0

    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.

  4. Fermionic Love number of higher-dimensional Reissner-Nordstr\"om black holes

    gr-qc 2026-06 unverdicted novelty 6.0

    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.

  5. Tidal Response and Thermodynamics of Black Holes

    hep-th 2026-04 unverdicted novelty 6.0

    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.

  6. On the logarithmic Love number of black holes beyond general relativity

    gr-qc 2025-12 conditional novelty 6.0

    Logarithmic black hole Love numbers are fixed directly by the Taylor coefficients of the perturbation equation, and perturbative deviations from Schwarzschild/Reissner-Nordström force non-zero running.

  7. Can wormholes have vanishing Love numbers?

    gr-qc 2026-05 unverdicted novelty 5.0

    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.

  8. Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT

    gr-qc 2025-11 unverdicted novelty 5.0

    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...

  9. Can wormholes have vanishing Love numbers?

    gr-qc 2026-05 reject novelty 4.0

    The paper claims the ℓ=2 magnetic tidal Love number of the Dadhich–Kar–Mukherji–Visser R=0 wormhole vanishes to first order in the regularization parameter p, based on a throat-regularity condition that removes the 1/...

  10. Universal Ladder Structure Across Scales: From Quantum to Black Hole Physics

    gr-qc 2026-04 unverdicted novelty 4.0

    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.

  11. Love numbers of black holes and compact objects

    gr-qc 2026-04 unverdicted novelty 2.0

    A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.