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High-order expansions of the Detweiler-Whiting singular field in Kerr spacetime

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arxiv 1211.6446 v2 pith:CLMV4C44 submitted 2012-11-27 gr-qc

Anna Heffernan , Adrian Ottewill , Barry Wardell This is my paper · ORCID
classification gr-qc
keywords fieldsingularspacetimeapplicationcomputedetweiler-whitingelectromagneticexpansions
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abstract

In a previous paper, we computed expressions for the Detweiler-Whiting singular field of point scalar, electromagnetic and gravitational charges following a geodesic of the Schwarzschild spacetime. We now extend this to the case of equatorial orbits in Kerr spacetime, using coordinate and covariant approaches to compute expansions of the singular field in scalar, electromagnetic and gravitational cases. As an application, we give the calculation of previously unknown mode-sum regularization parameters. We also propose a new application of high-order approximations to the singular field, showing how they may be used to compute $m$-mode regularization parameters for use in the $m$-mode effective source approach to self-force calculations.

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Cited by 2 Pith papers

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

  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.

  2. Self-force calculations with numerical relativity methods

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    A new numerical relativity-inspired method achieves exponential convergence for scalar self-force calculations in Kerr spacetime on circular equatorial orbits up to near-extremal spins and the ISCO.

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