Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order

Autor:	Bourg, Patrick, Pound, Adam, Upton, Samuel D., Macedo, Rodrigo Panosso
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	Most self-force calculations rely, in one way or another, on representations of a particle's Detweiler- Whiting singular field. We present a simple method of calculating the singular field to high order in a local expansion in powers of distance from the particle. As a demonstration, we compute the singular field to 14th order in distance, 10 orders beyond the previous state of the art, in the simple case of a scalar charge in circular orbit around a Schwarzschild black hole. We provide the result in both a 4-dimensional form and a decomposed form suitable for use in an m-mode puncture scheme. Our method should have applications in overcoming bottlenecks in current self-force calculations at both first and second order in perturbation theory. Comment: 24 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.10082 Zobrazit plný text záznamu View this record from Arxiv