Hyperbolicity of the BSSN system of Einstein evolution equations

Preprint

16 May 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0205064

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.

Keywords

EINSTEIN EVOLUTION EQUATIONS
EVOLUTION EQUATIONS
BSSN SYSTEM
BLACK HOLES
HYPERBOLIC
LAPSE

All Related Versions

Version 1, 2002-05-16, ArXiv
Published version: Physical Review D, 66 (6), 064002.

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