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Mode sum regularization approach for the self-force in black hole spacetime

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arxiv gr-qc/9912010 v2 pith:LROQKT7K submitted 1999-12-02 gr-qc

Leor Barack , Amos Ori This is my paper · ORCID
classification gr-qc
keywords regularizationself-forceapproachblackfieldholemodeparticle
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We present a method for calculating the self-force (the ``radiation reaction force'') acting on a charged particle moving in a strong field orbit in black hole spacetime. In this approach, one first calculates the contribution to the self-force due to each multipole mode of the particle's field. Then, the sum over modes is evaluated, subject to a certain regularization procedure. Here we develop this regularization procedure for a scalar charge on a Schwarzschild background, and present the results of its implementation for radial trajectories (not necessarily geodesic).

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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. Self-Forces as Nonlocal Probes of Gravastar Interiors

    gr-qc 2026-07 conditional novelty 7.0 of 10

    Static scalar and electric charges near a thin-shell gravastar experience self-forces different from those near a black hole, with analytic leading-order formulas.

  2. Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    Develops modified Teukolsky formalism for EMRIs in higher-derivative gravity and computes horizon and infinity fluxes for cubic gravity example.

  3. Spectral suppression of black hole ringdown tails

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    Spectral properties of oscillatory sources suppress the branch-cut contribution to black hole ringdown tails, explaining their absence in quasi-circular mergers.

  4. Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit

    gr-qc 2025-07 conditional novelty 7.0 of 10

    First-order metric perturbations and the generalized redshift invariant are computed for eccentric, precessing orbits in Kerr spacetime using four metric reconstruction methods, with open-source code provided.

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