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The Vanishing of the Non-linear Static Love Number of Kerr Black Holes and the Role of Symmetries

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arxiv 2412.08249 v1 pith:RFUJGKFS submitted 2024-12-11 gr-qc hep-phhep-th

The Vanishing of the Non-linear Static Love Number of Kerr Black Holes and the Role of Symmetries

L.-R. Gounis (NTUA) , A. Kehagias (NTUA) , A. Riotto (University of Geneva) This is my paper
classification gr-qc hep-phhep-th
keywords blackholestidalnon-linearexternalfour-dimensionalkerrlove
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We investigate the tidal response of Kerr black holes in four-dimensional space-times subjected to external gravitational fields. Using the Ernst formalism and Weyl coordinates, we analyze the non-linear tidal deformation of rotating black holes and demonstrate that their static tidal Love numbers vanish at all orders of the external tidal field. We also show that this result is intimately related to the presence of underlying non-linear symmetries. Our analysis generalizes previous findings for Schwarzschild black holes and confirms the robustness of four-dimensional black holes against tidal forces.

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Cited by 2 Pith papers

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

  1. A Bound on the Dynamical Love Number

    gr-qc 2026-07 conditional novelty 7.0

    Schwarz–Pick applied to the rescaled retarded tidal response bounds dynamical Love numbers for neutron stars by the static Love number and spectral gap, and constrains black-hole tidal heating.

  2. 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...