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arXiv · 0705.3845

BSSN in Spherical Symmetry

David Brown
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Abstract

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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David Brown. 2008-08-19. BSSN in Spherical Symmetry. https://doi.org/10.1088/0264-9381%2F25%2F20%2F205004

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