BSSN in Spherical Symmetry

Details BSSN in Spherical Symmetry BSSN in Spherical Symmetry

2007-05-25

arxiv.org/abs/0705.3845v2

Class.Quant.Grav.25:205004,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This is the final version to be published in CQG. It contains much more information and detail than the original version

Scientific paper

10.1088/0264-9381/25/20/205004

The BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation of the Einstein evolution equations is written in spherical symmetry. These equations can be used to address a number of technical and conceptual issues in numerical relativity in the context of a single Schwarzschild black hole. One of the benefits of spherical symmetry is that the numerical grid points can be tracked on a Kruskal--Szekeres diagram. Boundary conditions suitable for puncture evolution of a Schwarzschild black hole are presented. Several results are shown for puncture evolution using a fourth--order finite difference implementation of the equations.

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