Discrete differential forms for cosmological space-times
arXiv:0805.2858 · doi:10.1137/080734583
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.
References in corpus (5)
- Solving Einstein's Equations With Dual Coordinate Frames
- A multi-block infrastructure for three-dimensional time-dependent numerical relativity
- Black Hole Excision with Multiple Grid Patches
- A Finite Element Computation of the Gravitational Radiation emitted by a Point-like object orbiting a Non-rotating Black Hole
- Application of Discrete Differential Forms to Spherically Symmetric Systems in General Relativity