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Dynamical Love Numbers for Kerr Black Holes

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arxiv 2310.03660 v1 pith:FDW77MEP submitted 2023-10-05 gr-qc hep-thmath-phmath.MP

Dynamical Love Numbers for Kerr Black Holes

classification gr-qc hep-thmath-phmath.MP
keywords blackcoefficientsdynamicalholeskerrlovebehaviorcomputational
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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While static Love number vanish identically for Kerr black holes, we show that the corresponding dynamical tidal coefficients are generically non-zero and exhibit logarithmic behavior. The computational method employs a related but simpler scheme consistent with CFT descriptions, low-frequency regimes and post-Newtonian results. These coefficients are illustrated with a numerical examples.

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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 Response of Neutron Stars: from Effective Field Theory to Gravitational Waveforms

    gr-qc 2026-06 unverdicted novelty 8.0

    Complete leading-order dynamical tidal corrections to neutron-star binaries are derived in EFT, showing dynamical Love numbers enhanced relative to static ones and yielding measurable contributions to the GW phase at ...

  2. 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.

  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...