Hyperbolicity of the BSSN system of Einstein evolution equations

Details Hyperbolicity of the BSSN system of Einstein evolution equations Hyperbolicity of the BSSN system of Einstein evolution equations

2002-05-15

arxiv.org/abs/gr-qc/0205064v1

Phys.Rev. D66 (2002) 064002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 Pages, RevTex, no figures

Scientific paper

10.1103/PhysRevD.66.064002

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.

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