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On the gravitational polarizability of black holes

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arxiv 0906.3003 v2 pith:WAFZMKFV submitted 2009-06-16 gr-qc

Thibault Damour , Orchidea Maria Lecian This is my paper · ORCID
classification gr-qc
keywords blackpolarizabilitybulgecomparedelectromagneticgravitationalheighthole
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The gravitational polarizability properties of black holes are compared and contrasted with their electromagnetic polarizability properties. The "shape" or "height" multipolar Love numbers h_l of a black hole are defined and computed. They are then compared to their electromagnetic analogs h_l^{EM}. The Love numbers h_l give the height of the l-th multipolar "tidal bulge" raised on the horizon of a black hole by faraway masses. We also discuss the shape of the tidal bulge raised by a test mass m, in the limit where m gets very close to the horizon.

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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. Horizon Multipole Moments of a Kerr Black Hole

    gr-qc 2026-02 unverdicted novelty 7.0 of 10

    Horizon multipole moments of a Kerr black hole are computed in closed form from two definitions, yielding different values for l >= 1 at nonzero spin and sharing parity and small-spin scaling with field multipoles.

  3. Resummation of Universal Tails in Gravitational Waveforms

    hep-th 2025-04 unverdicted novelty 7.0 of 10

    A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.

  4. 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.

  5. Tidal perturbations of an extreme mass ratio inspiral around a Kerr black hole

    gr-qc 2026-01 conditional novelty 6.0 of 10

    A closed-form Kerr metric under slow quadrupolar tides yields spin-dependent tidal shifts of the ISCO and light ring, with larger shifts for retrograde orbits around fast-spinning holes.

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