Frequency-domain self-force calculations using Gegenbauer reconstruction

Published in arXiv, 2025

Recommended citation: C. Whittall, L. Barack and O. Long, "Frequency-domain self-force calculations using Gegenbauer reconstruction", arXiv:2509.19439 [gr-qc] [link]

Link to arxiv entry

In this paper we explore the use of the Gegenbauer re-projection technique for time-domain reconstruction in frequency-domain self-force calculations. This approach promises significant improvements over the conventional "EHS" approach to self-force calculations for hyperbolic and highly-eccentric elliptical orbits.