Numerical evolution of axisymmetric, isolated systems in General Relativity

Details Numerical evolution of axisymmetric, isolated systems in General Relativity Numerical evolution of axisymmetric, isolated systems in General Relativity

2002-07-24

arxiv.org/abs/gr-qc/0207094v2

Phys.Rev. D66 (2002) 124004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 8 figures, uses revtex4, replaced with revised version

Scientific paper

10.1103/PhysRevD.66.124004

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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