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Tidal Love numbers and Green's functions in black hole spacetimes

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arxiv 2407.07156 v2 pith:3YEBY7YZ submitted 2024-07-09 gr-qc astro-ph.COhep-th

Valerio De Luca , Alice Garoffolo , Justin Khoury , Mark Trodden This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords blackgreenlovenumberstidalcasedynamicalfunctions
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Tidal interactions play a crucial role in deciphering gravitational wave signals emitted by the coalescence of binary systems. They are usually quantified by a set of complex coefficients which include tidal Love numbers, describing the conservative response to an external perturbation. In the static case, these are found to vanish exactly for asymptotically flat black holes in general relativity in four spacetime dimensions, and recently they have been generalized to dynamical interactions. In the context of response theory, the retarded Green's function provides the complete description of the behavior of dynamical systems. In this work we investigate the relation between Love numbers and Green's functions, and highlight the relevance of radiation reaction effects to their connection. As a special case, we discuss Banados-Teitelboim-Zanelli black holes, where the absence of radiative modes allows us to make a direct link between them.

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Cited by 7 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. Matching Tidal Deformability (Wilson) Coefficients to Black Hole Love Numbers in Higher-Curvature Gravity

    gr-qc 2026-04 accept novelty 7.0 of 10

    Wilson coefficients in higher-curvature EFTs equal point-particle counterterms plus finite-size Love-number pieces; standard GR matching fails and is corrected for cubic gravity.

  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. The Ringdown and the Tide: Fingerprints of Dark Matter Halo Profiles

    gr-qc 2026-08 conditional novelty 6.0 of 10

    For black holes in generalized (alpha,beta,gamma) dark matter halos, the axial ringdown shift is set by a single redshift integral, while the tidal Love number depends on an outer radial moment, making the two observa...

  5. 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...

  6. Tidal deformation of an accreting compact object

    gr-qc 2026-07 conditional novelty 5.0 of 10

    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.

  7. Can wormholes have vanishing Love numbers?

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    The paper claims the ℓ=2 magnetic tidal Love number of the Dadhich–Kar–Mukherji–Visser R=0 wormhole vanishes to first order in the regularization parameter p, based on a throat-regularity condition that removes the 1/...

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