Modelling Extreme-Mass-Ratio Inspirals using Pseudospectral Methods

Details Modelling Extreme-Mass-Ratio Inspirals using Pseudospectral Methods Modelling Extreme-Mass-Ratio Inspirals using Pseudospectral Methods

2010-01-26

arxiv.org/abs/1001.4697v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages. To appear in Proceedings of the Twelfth Marcel Grossmann Meeting on General Relativity, edited by Thibault Damour, Ro

Scientific paper

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.

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