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Hyperbolic formulations and numerical relativity: II. asymptotically constrained systems of Einstein equations
Classical and quantum gravity
We study asymptotically constrained systems for numerical integration of the Einstein equations, which are intended to be robust against perturbative errors for the free evolution of the initial data. First, we examine the previously proposed "λ-system", which introduces artificial flows to constraint surfaces based on the symmetric hyperbolic formulation. We show that this system works as expected for the wave propagation problem in the Maxwell system and in general relativity using Ashtekar'sdoi:10.1088/0264-9381/18/3/307 fatcat:b5nb62gd2jfxfop7uegvgkn2ru