Modelling Extreme-Mass-Ratio Inspirals using Pseudospectral Methods
Abstract
We introduce a new time-domain method for computing the self-force acting on a scalar particle in a Schwarzschild geometry. The principal feature of our method consists in the division of the spatial domain into several subdomains and locating the particle at the interface betweem two them. In this way, we avoid the need of resolving a small length scale associated with the presence of a particle in the computational domain and, at the same time, we avoid numerical problems due to the low differentiability of solutions of equations with point-like singular behaviour.
Cite
@article{arxiv.1001.4697,
title = {Modelling Extreme-Mass-Ratio Inspirals using Pseudospectral Methods},
author = {Priscilla Canizares and Carlos F. Sopuerta},
journal= {arXiv preprint arXiv:1001.4697},
year = {2010}
}
Comments
3 pages. To appear in Proceedings of the Twelfth Marcel Grossmann Meeting on General Relativity, edited by Thibault Damour, Robert T Jantzen and Remo Ruffini, World Scientific, Singapore, 2010