Applying the effective-source approach to frequency-domain self-force calculations: Lorenz-gauge gravitational perturbations
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PhysRevD.92.084019.pdf
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647.23 KB
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Author(s)
Wardell, Barry
Warburton, Niels J
Date Issued
October 2015
Journal
Physical Review D
Publisher
American Physical Society
Citation
Wardell, Barry, and Niels Warburton. "Applying the effective-source approach to frequency-domain self-force calculations: Lorenz-gauge gravitational perturbations." Phys. Rev. D 92, 084019 (October 2015). © 2015 American Physical Society
Version
Final published version
Abstract
With a view to developing a formalism that will be applicable at second perturbative order, we devise a new practical scheme for computing the gravitational self-force experienced by a point mass moving in a curved background spacetime. Our method works in the frequency domain and employs the effective-source approach, in which a distributional source for the retarded metric perturbation is replaced with an effective source for a certain regularized self-field. A key ingredient of the calculation is the analytic determination of an appropriate puncture field from which the effective source and regularized residual field can be calculated. In addition to its application in our effective-source method, we also show how this puncture field can be used to derive tensor-harmonic mode-sum regularization parameters that improve the efficiency of the traditional mode-sum procedure. To demonstrate the method, we calculate the first-order-in-the-mass-ratio self-force and redshift invariant for a point mass on a circular orbit in Schwarzschild spacetime.
MIT Department
MIT Kavli Institute for Astrophysics and Space Research
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.92.084019
