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Hyperbolicity of the BSSN system of Einstein evolution equations

Hyperbolicity of the BSSN system of Einstein evolution equations
Hyperbolicity of the BSSN system of Einstein evolution equations
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.
1550-7998
1-6
Sarbach, Olivier
9b1b946c-5ff3-4eeb-b685-915c662edff8
Calabrese, Gioel
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Pullin, Jorge
4c0fa15e-1ba7-49c4-bfc6-f46944951a9f
Tiglio, Manuel
70c1e9ee-b30c-4354-af43-1bd3b4b6af24
Sarbach, Olivier
9b1b946c-5ff3-4eeb-b685-915c662edff8
Calabrese, Gioel
b6d18b27-64cd-426f-b86e-1b3a848f03ed
Pullin, Jorge
4c0fa15e-1ba7-49c4-bfc6-f46944951a9f
Tiglio, Manuel
70c1e9ee-b30c-4354-af43-1bd3b4b6af24

Sarbach, Olivier, Calabrese, Gioel, Pullin, Jorge and Tiglio, Manuel (2002) Hyperbolicity of the BSSN system of Einstein evolution equations. Physical Review D, 66 (6), 1-6. (doi:10.1103/PhysRevD.66.064002).

Record type: Article

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.

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Published date: 2002

Identifiers

Local EPrints ID: 40861
URI: http://eprints.soton.ac.uk/id/eprint/40861
DOI: doi:10.1103/PhysRevD.66.064002
ISSN: 1550-7998
PURE UUID: 5dcc3756-98e6-4e52-8918-4b43add5f664

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Date deposited: 11 Jul 2006
Last modified: 15 Mar 2024 08:23

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Contributors

Author: Olivier Sarbach
Author: Gioel Calabrese
Author: Jorge Pullin
Author: Manuel Tiglio

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