Hyperbolicity of the Baumgarte-Shapiro-Shibata-Nakamura system of Einstein evolution equations
- 3 September 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 66 (6) , 064002
- https://doi.org/10.1103/physrevd.66.064002
Abstract
We discuss an equivalence between the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of the Einstein evolution equations, a subfamily 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
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