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Relativistic perturbation theory for black-hole boson clouds

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arxiv 2309.10021 v2 pith:LDAPS52B submitted 2023-09-18 gr-qc hep-th

Enrico Cannizzaro , Laura Sberna , Stephen R. Green , Stefan Hollands This is my paper · ORCID
classification gr-qchep-th
keywords perturbationrelativistictheorycloudsgravitationalagreementanalogapplications
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We develop a relativistic perturbation theory for scalar clouds around rotating black holes. We first introduce a relativistic product and corresponding orthogonality relation between modes, extending a recent result for gravitational perturbations. We then derive the analog of time-dependent perturbation theory in quantum mechanics, and apply it to calculate self-gravitational frequency shifts. This approach supersedes the non-relativistic "gravitational atom" approximation, brings close agreement with numerical relativity, and has practical applications for gravitational-wave astronomy.

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Cited by 4 Pith papers

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

  1. Perturbing Gravitational Atoms: Negative Love, Resonant Tides and Shifted Resonances

    gr-qc 2026-07 accept novelty 7.0 of 10

    Spinning gravitational atoms have negative static Love numbers enhanced by O(10²–10³) over non-spinning clouds, with internal perturbations shifting binary resonances.

  2. Schr\"odinger perturbation theory for black hole quasinormal modes

    gr-qc 2026-07 conditional novelty 7.0 of 10

    A bilinear-form framework computes black-hole quasinormal-mode frequency shifts to any order, but the mode-sum expansion of the first-order mode shift diverges and needs a continuum piece.

  3. Trails of clouds in binary black holes

    gr-qc 2025-12 conditional novelty 7.0 of 10

    Boson clouds around binary black holes generically deplete through orbital resonances, driving eccentricity and spin-orbit tilt toward fixed points—including off-equatorial ones—leaving observable gravitational-wave trails.

  4. Relativistic Tidal Transitions of Saturated Kerr Boson Clouds

    astro-ph.GA 2026-07 conditional novelty 6.0 of 10

    Relativistic Kerr wavefunctions change tidal transition matrix elements of saturated boson clouds by up to 21.7% relative to the hydrogenic approximation, with the radial profile responsible for ~80% of the change.

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