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. © 2002 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review D - Particles, Fields, Gravitation and Cosmology
Sarbach, O., Calabrese, G., Pullin, J., & Tiglio, M. (2002). Hyperbolicity of the Baumgarte-Shapiro-Shibata-Nakamura system of Einstein evolution equations. Physical Review D - Particles, Fields, Gravitation and Cosmology, 66 (6) https://doi.org/10.1103/PhysRevD.66.064002