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Love Numbers for Extremal Kerr Black Hole

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arxiv 2412.19699 v1 pith:LPPAS4BE submitted 2024-12-27 hep-th gr-qc

Love Numbers for Extremal Kerr Black Hole

Malcolm Perry , Maria J. Rodriguez This is my paper
classification hep-th gr-qc
keywords blackextremalholeskerrlovenumberstidalbehavior
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform a detailed study of the gravitational tidal Love numbers of extremal zero-temperature Kerr black holes. These coefficients are finite and exhibit the dissipative nature of these maximally spinning black holes. Upon considering the dynamical behavior of the tidal deformations of the extremal Kerr black holes, we provide explicit expressions of the Love numbers at low frequencies. Their calculation is simplified to specific formulas, which are directly derived using the Leaver-MST methods.

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Cited by 3 Pith papers

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

  1. 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.

  2. Tidal deformation of an accreting compact object

    gr-qc 2026-07 conditional novelty 5.0

    For perfectly reflecting Schwarzschild-like ECOs, the log-compactness scaling of static scalar and spin-1 Love numbers survives a thin accretion disk, which mainly amplifies the response magnitude.

  3. 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...