Hyperbolicity of the BSSN system of Einstein evolution equations
May, 2002
7 pages
Published in:
- Phys.Rev.D 66 (2002) 064002
e-Print:
- gr-qc/0205064 [gr-qc]
Report number:
- LSU-REL-051502
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Abstract: (arXiv)
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.- 04.25.Dm
- Einstein equation
- gravitation: linear
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