Application of Discrete Differential Forms to Spherically Symmetric Systems in General Relativity
General Relativity and Quantum Cosmology
2009-06-23 v2
Abstract
In this article we describe applications of Discrete Differential Forms in computational GR. In particular we consider the initial value problem in vacuum space-times that are spherically symmetric. The motivation to investigate this method is mainly its manifest coordinate independence. Three numerical schemes are introduced, the results of which are compared with the corresponding analytic solutions. The error of two schemes converges quadratically to zero. For one scheme the errors depend strongly on the initial data.
Keywords
Cite
@article{arxiv.gr-qc/0608041,
title = {Application of Discrete Differential Forms to Spherically Symmetric Systems in General Relativity},
author = {Ronny Richter and Jörg Frauendiener and Marlene Vogel},
journal= {arXiv preprint arXiv:gr-qc/0608041},
year = {2009}
}
Comments
22 pages, 6 figures, accepted by Class. Quant. Grav