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Gravitational self-force on a particle orbiting a Kerr black hole

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arxiv gr-qc/0212103 v2 pith:RH2XMN73 submitted 2002-12-25 gr-qc

Leor Barack , Amos Ori This is my paper · ORCID
classification gr-qc
keywords gravitationalkerrblackholemethodparticleregularizationself-force
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a practical method for calculating the gravitational self-force, as well as the electromagnetic and scalar self forces, for a particle in a generic orbit around a Kerr black hole. In particular, we provide the values of all the regularization parameters needed for implementing the (previously introduced) {\it mode-sum regularization} method. We also address the gauge-regularization problem, as well as a few other issues involved in the calculation of gravitational radiation-reaction in Kerr spacetime.

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  1. 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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