Application of Discrete Differential Forms to Spherically Symmetric Systems in General Relativity

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.

22 pages, 6 figures, accepted by Class. Quant. Grav

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Cited by in corpus (3)

• Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• Discrete differential forms for cosmological space-times