Hyperbolicity of the BSSN system of Einstein evolution equations
General Relativity and Quantum Cosmology
2009-11-07 v1
Abstract
We discuss an equivalence between the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of the Einstein evolution equations, a subfamiliy of the Kidder--Scheel--Teukolsky formulation, and other strongly or symmetric hyperbolic first order systems with fixed shift and densitized lapse. This allows us to show under which conditions the BSSN system is, in a sense to be discussed, hyperbolic. This desirable property may account in part for the empirically observed better behavior of the BSSN formulation in numerical evolutions involving black holes.
Cite
@article{arxiv.gr-qc/0205064,
title = {Hyperbolicity of the BSSN system of Einstein evolution equations},
author = {Olivier Sarbach and Gioel Calabrese and Jorge Pullin and Manuel Tiglio},
journal= {arXiv preprint arXiv:gr-qc/0205064},
year = {2009}
}
Comments
7 Pages, RevTex, no figures