We provide expansions of the Detweiler-Whiting singular field for a particle with a scalar field moving 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.
Publication Source (Journal or Book title)
Classical and Quantum Gravity
Heffernan, A., Ottewill, A., Warburton, N., Wardell, B., & Diener, P. (2018). Accelerated motion and the self-force in Schwarzschild spacetime. Classical and Quantum Gravity, 35 (19) https://doi.org/10.1088/1361-6382/aad420