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Non-linearities in the tidal Love numbers of black holes

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arxiv 2305.14444 v2 pith:INZCXIAO submitted 2023-05-23 gr-qc hep-th

Valerio De Luca , Justin Khoury , Sam S. C. Wong This is my paper · ORCID
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keywords tidalblacklovenumbersholestheoryfindnon-linearities
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Tidal Love numbers describe the linear response of a compact object under the presence of external tidal perturbations, and they are found to vanish exactly for black holes within General Relativity. In this paper we investigate the tidal deformability of neutral black holes when non-linearities in the theory are taken into account. As a case in point, we consider scalar tidal perturbations on the black hole background, and find that the tidal Love numbers may be non vanishing depending on the scalar interactions in the bulk theory. Remarkably, for non-linear sigma models, we find that the tidal Love numbers vanish to all orders in perturbation theory.

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Cited by 12 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. Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization

    hep-th 2025-02 accept novelty 8.0 of 10

    Scalar Love numbers of non-dilatonic black p-branes vanish for integer rescaled multipoles, extremal p-branes give exactly zero static Love numbers, and the hidden symmetries behind these vanishings become near-horizo...

  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. One Membrane to Love them all: Tidal deformations of compact objects from the membrane paradigm

    gr-qc 2025-06 conditional novelty 7.0 of 10

    The tidal deformability of any compact object in vacuum general relativity can be encoded in the bulk and shear viscosity of a fictitious membrane, with explicit formulas for the electric and magnetic Love numbers.

  5. Running Love Numbers and the Effective Field Theory of Gravity

    hep-th 2025-01 conditional novelty 7.0 of 10

    Higher-derivative gravity corrections induce non-zero, classically running tidal Love numbers for black holes, computed here with a new tidal Green function method.

  6. Higher-Dimensional Black Holes and Effective Field Theory

    hep-th 2024-12 conditional novelty 7.0 of 10

    Higher-dimensional spinning black holes generally have nonzero scalar tidal Love numbers, with patterns of zeroes in special limits, computed via point-particle EFT matching.

  7. Tidal Love numbers of multi-state Boson stars

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Quadrupolar electric tidal Love numbers of multi-state boson stars flip from positive to negative when mu~1 > 0.891 or omega~0 > 0.777, while magnetic Love numbers stay negative.

  8. 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.

  9. Tidal Love numbers and quasi-normal modes of the ECO in a Dark Matter halo

    gr-qc 2025-09 conditional novelty 6.0 of 10

    An ECO embedded in a dark matter halo acquires dark-matter-dependent tidal Love numbers and, for a non-relativistic halo profile, gravitational-wave echoes clearly different from the vacuum case.

  10. Tidal Love numbers and quasi-normal modes of the Schwarzschild-Hernquist black hole

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For a Schwarzschild black hole in a relativistic Hernquist dark matter halo, quasinormal-mode frequency shifts scale as (MDM/rs)^(3/2) rather than linearly, while tidal Love numbers are small and sensitive to the choi...

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

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Using the Ernst formalism, the paper argues that the static quadrupole tidal Love number of a Kerr black hole vanishes at full nonlinear order, because a decaying tidal mode would create a naked curvature singularity ...

  12. Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer

    astro-ph.CO 2025-08 conditional novelty 5.0 of 10

    A Bayesian analysis shows that a future sub-solar PBH detection would make the primordial SIGW interpretation of PTA data favored over the SMBH interpretation, but this preference is driven by the detection prior.

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