Discrete differential forms for cosmological space-times
General Relativity and Quantum Cosmology
2010-05-12 v1
Abstract
In this article we describe applications of the numerical method of discrete differential forms in computational GR. In particular we consider the initial value problem for vacuum space-times that admit plane gravitational waves. As described in an earlier paper the discrete differential form approach can provide accurate results in spherically symmetric space-times. Moreover it is manifestly coordinate independent. Here we use the polarised Gowdy solution as a testbed for two numerical schemes. One scheme reproduces that solution very well, in particular it is stable for a comparatively long time and converges quadratically.
Cite
@article{arxiv.0805.2858,
title = {Discrete differential forms for cosmological space-times},
author = {Ronny Richter and Jörg Frauendiener},
journal= {arXiv preprint arXiv:0805.2858},
year = {2010}
}