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

Anna Heffernan, Adrian Ottewill, and Barry Wardell
Phys. Rev. D 89, 024030 – Published 22 January 2014

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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  • Received 28 May 2013

DOI:https://doi.org/10.1103/PhysRevD.89.024030

© 2014 American Physical Society

Authors & Affiliations

Anna Heffernan1,2,*, Adrian Ottewill2,†, and Barry Wardell2,‡

  • 1Advanced Concepts Team, European Space Research and Technology Centre (ESTEC), European Space Agency (ESA), Keplerlaan 1, 2201 AZ Noordwijk, Netherlands
  • 2School of Mathematical Sciences and Complex & Adaptive Systems Laboratory, University College Dublin, Belfield, Dublin 4, Ireland

  • *anna.heffernan@ucd.ie
  • adrian.ottewill@ucd.ie
  • barry.wardell@gmail.com

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Vol. 89, Iss. 2 — 15 January 2014

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