Dynamical shift conditions for the Z4 and BSSN hyperbolic formalisms

Details Dynamical shift conditions for the Z4 and BSSN hyperbolic formalisms Dynamical shift conditions for the Z4 and BSSN hyperbolic formalisms

2004-01-07

arxiv.org/abs/gr-qc/0401019v2

Phys.Rev.D69:104003,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

text changed, accepted in PRD

Scientific paper

10.1103/PhysRevD.69.104003

A class of dynamical shift conditions is shown to lead to a strongly hyperbolic evolution system, both in the Z4 and in the BSSN Numerical Relativity formalisms. This class generalizes the harmonic shift condition, where light speed is the only non-trivial characteristic speed, and it is contained into the multi-parameter family of minimal distortion shift conditions recently proposed by Lindblom and Scheel. The relationship with the analogous 'dynamical freezing' shift conditions used in black hole simulations discussed.

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