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arXiv · 1712.01098

Accelerated motion and the self-force in Schwarzschild spacetime

Anna Heffernan·Adrian C. Ottewill·Niels Warburton·Barry Wardell·Peter Diener
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Abstract

We provide expansions of the Detweiler-Whiting singular field for motion along arbitrary, planar accelerated trajectories in Schwarzschild spacetime. We transcribe these results into mode-sum regularization parameters, computing previously unknown terms that increase the convergence rate of the mode-sum. We test our results by computing the self-force along a variety of accelerated trajectories. For non-uniformly accelerated circular orbits we present results from a new 1+1D discontinuous Galerkin time-domain code which employs an effective-source. We also present results for uniformly accelerated circular orbits and accelerated bound eccentric orbits computed within a frequency-domain treatment. Our regularization results will be useful for computing self-consistent self-force inspirals where the particle's worldline is accelerated with respect to the background spacetime.

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Anna Heffernan, Adrian C. Ottewill, Niels Warburton, Barry Wardell, Peter Diener. 2017-12-04. Accelerated motion and the self-force in Schwarzschild spacetime. https://doi.org/10.1088/1361-6382%2Faad420

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