Tuning Time-Domain Pseudospectral Computations of the Self-Force on a Charged Scalar Particle

TL;DR

This paper improves a time-domain computational method for calculating the self-force on a charged scalar particle, making it more precise and efficient, especially for highly eccentric orbits, aiding gravitational wave research.

Contribution

The paper introduces a tuned version of the Particle without Particle scheme, enhancing its accuracy and efficiency for self-force calculations in gravitational wave modeling.

Findings

Enhanced precision of the self-force computation method.

Achieved higher efficiency in simulations.

Extended the technique to handle highly eccentric orbits.

Abstract

The computation of the self-force constitutes one of the main challenges for the construction of precise theoretical waveform templates in order to detect and analyze extreme-mass-ratio inspirals with the future space-based gravitational-wave observatory LISA. Since the number of templates required is quite high, it is important to develop fast algorithms both for the computation of the self-force and the production of waveforms. In this article we show how to tune a recent time-domain technique for the computation of the self-force, what we call the Particle without Particle scheme, in order to make it very precise and at the same time very efficient. We also extend this technique in order to allow for highly eccentric orbits.