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Love numbers and magnetic susceptibility of charged black holes

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arxiv 2112.08400 v2 pith:NNVL7WHC submitted 2021-12-15 gr-qc hep-th

David Pereñiguez , Vitor Cardoso This is my paper · ORCID
classification gr-qchep-th
keywords blackchargeholeslovenumberschargeddimensionsextremality
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abstract

The response of black holes to companions is of fundamental importance in the context of their dynamics and of gravitational-wave emission. Here, we explore the effect of charge on the static response of black holes. With a view to constraining broader setups, we consider charged geometries in an arbitrary number of spacetime dimensions $D\geq4$. Tensor tidal Love numbers are shown to follow a power law in the black hole temperature $\sim T_{H}^{2l+1}$, and thus vanish at extremality. In contrast, the black hole charge $Q$ excites new modes of polarisation in the vector sector that are otherwise not responsive in the neutral limit. In four dimensions, Love numbers and magnetic susceptibilities vanish for all values of the charge that respect the extremality bound. Using the theory of Fuchsian equations we are able to obtain analytical results in most cases, even beyond the hypergeometric instances.

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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. 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.

  2. 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.

  3. 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.

  4. 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...

  5. Charged Binaries in Gravitational Tides

    gr-qc 2024-11 conditional novelty 5.0 of 10

    Tidal corrections to the ISCO and light ring of a Reissner-Nordström black hole are derived analytically and shown to be suppressed but non-vanishing at extremality.

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