BSSN in Spherical Symmetry
General Relativity and Quantum Cosmology
2008-11-26 v2
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.
Cite
@article{arxiv.0705.3845,
title = {BSSN in Spherical Symmetry},
author = {David Brown},
journal= {arXiv preprint arXiv:0705.3845},
year = {2008}
}