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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

L.-R. Gounis (NTUA) , A. Kehagias (NTUA) , A. Riotto (University of Geneva) This is my paper · ORCID
classification gr-qchep-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 5 Pith papers

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

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

    hep-th 2025-12 accept novelty 8.0 of 10

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

  2. A Bound on the Dynamical Love Number

    gr-qc 2026-07 conditional novelty 7.0 of 10

    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.

  3. Dynamical Tidal Response of Schwarzschild Black Holes

    gr-qc 2025-11 conditional novelty 7.0 of 10

    The dynamical Love numbers of a Schwarzschild black hole are nonzero at quadratic order in frequency, run logarithmically with a coefficient set by dissipation, and are now matched including their finite, scheme-depen...

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

    gr-qc 2025-12 conditional novelty 6.0 of 10

    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.

  5. Love Numbers of Covariant Loop Quantum Black Holes

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Tidal Love numbers of three covariant loop quantum black holes are shown to be generically nonzero, Planck-scale suppressed, and model-dependent in sign and logarithmic running.

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