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Hyperbolicity of the BSSN system of Einstein evolution equations

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arxiv gr-qc/0205064 v1 pith:P66PH4TC submitted 2002-05-15 gr-qc

Olivier Sarbach , Gioel Calabrese , Jorge Pullin , Manuel Tiglio This is my paper · ORCID
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keywords bssnformulationeinsteinequationsevolutionhyperbolicsystemaccount
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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.

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  1. Gravitational Effective Field Theories and Black Hole Mechanics

    gr-qc 2024-11 conditional novelty 6.0 of 10

    In effective field theories of gravity with electromagnetism and scalars, surface gravity and electric potential are constant on black hole horizons up to the accuracy of the EFT, and a modified entropy satisfies the ...

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