• DOI:10.1088/1361-6382/aad420
• Corpus ID: 119193999

Accelerated motion and the self-force in Schwarzschild spacetime

@article{Heffernan2017AcceleratedMA,
  title={Accelerated motion and the self-force in Schwarzschild spacetime},
  author={Anna Heffernan and Adrian C Ottewill and Niels Warburton and Barry Wardell and Peter Diener},
  journal={Classical and Quantum Gravity},
  year={2017},
  volume={35}
}

• Anna Heffernan, A. Ottewill, +2 authors P. Diener
• Published 4 December 2017
• Physics
• Classical and Quantum Gravity

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.