Dynamical shift conditions for the Z4 and BSSN hyperbolic formalisms

Abstract

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.

text changed, accepted in PRD

References in corpus (3)

• General-covariant evolution formalism for Numerical Relativity
• Strongly hyperbolic second order Einstein's evolution equations
• A symmetry-breaking mechanism for the Z4 general-covariant evolution system

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