Discrete differential forms for cosmological space-times

Details Discrete differential forms for cosmological space-times Discrete differential forms for cosmological space-times

2008-05-19

arxiv.org/abs/0805.2858v1

SIAM J.Sci.Comput.32:1140-1158,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1137/080734583

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.

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