Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-08-08
Class.Quant.Grav.24:433-453,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 6 figures, accepted by Class. Quant. Grav
Scientific paper
10.1088/0264-9381/24/2/010
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.
Frauendiener Jörg
Richter Ronny
Vogel Marlene
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