Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-03-07
Phys.Rev.D83:064032,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, 5 figures. To be published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.83.064032
With a purpose of constructing a robust evolution system against numerical instability for integrating the Einstein equations, we propose a new formulation by adjusting the ADM evolution equations with constraints. We apply an adjusting method proposed by Fiske (2004) which uses the norm of the constraints, C2. One of the advantages of this method is that the effective signature of adjusted terms (Lagrange multipliers) for constraint-damping evolution is pre-determined. We demonstrate this fact by showing the eigenvalues of constraint propagation equations. We also perform numerical tests of this adjusted evolution system using polarized Gowdy-wave propagation, which show robust evolutions against the violation of the constraints than that of the standard ADM formulation.
Shinkai Hisa-aki
Tsuchiya Takuya
Yoneda Gen
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