Hyperbolicity of the Baumgarte-Shapiro-Shibata-Nakamura system of Einstein evolution equations

Olivier Sarbach, Gioel Calabrese, Jorge Pullin, and Manuel Tiglio
Phys. Rev. D 66, 064002 – Published 3 September 2002
PDFExport Citation

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.

  • Received 27 May 2002

DOI:https://doi.org/10.1103/PhysRevD.66.064002

©2002 American Physical Society

Authors & Affiliations

Olivier Sarbach, Gioel Calabrese, Jorge Pullin, and Manuel Tiglio

  • Department of Physics and Astronomy, Louisiana State University, 202 Nicholson Hall, Baton Rouge, Louisiana 70803-4001

References (Subscription Required)

Click to Expand
Issue

Vol. 66, Iss. 6 — 15 September 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×