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Abstract: We discuss high order absorbing constraint preserving boundary conditions forthe Z4c formulation of general relativity coupled to the moving puncture familyof gauges. We are primarily concerned with the constraint preservation andabsorption properties of these conditions. In the frozen coefficientapproximation, with an appropriate first order pseudo-differential reduction,we show that the constraint subsystem is boundary stable on a four dimensionalcompact manifold. We analyze the remainder of the initial boundary valueproblem for a spherical reduction of the Z4c formulation with a particularchoice of the puncture gauge. Numerical evidence for the efficacy of theconditions is presented in spherical symmetry.



Autor: Milton Ruiz, David Hilditch, Sebastiano Bernuzzi

Fuente: https://arxiv.org/







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