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Numerical evolution of axisymmetric, isolated systems in General Relativity

J. Frauendiener·Matthias Hein
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Abstract

We describe in this article a new code for evolving axisymmetric isolated systems in general relativity. Such systems are described by asymptotically flat space-times which have the property that they admit a conformal extension. We are working directly in the extended `conformal' manifold and solve numerically Friedrich's conformal field equations, which state that Einstein's equations hold in the physical space-time. Because of the compactness of the conformal space-time the entire space-time can be calculated on a finite numerical grid. We describe in detail the numerical scheme, especially the treatment of the axisymmetry and the boundary.

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J. Frauendiener, Matthias Hein. 2002-07-26. Numerical evolution of axisymmetric, isolated systems in General Relativity. https://doi.org/10.1103/physrevd.66.124004

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