Constraint preserving boundary conditions for the Z4c formulation of general relativity

Details Constraint preserving boundary conditions for the Z4c formulation of general relativity Constraint preserving boundary conditions for the Z4c formulation of general relativity

2010-10-04

arxiv.org/abs/1010.0523v2

Phys.Rev.D83:024025,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 8 figures

Scientific paper

10.1103/PhysRevD.83.024025

We discuss high order absorbing constraint preserving boundary conditions for the Z4c formulation of general relativity coupled to the moving puncture family of gauges. We are primarily concerned with the constraint preservation and absorption properties of these conditions. In the frozen coefficient approximation, with an appropriate first order pseudo-differential reduction, we show that the constraint subsystem is boundary stable on a four dimensional compact manifold. We analyze the remainder of the initial boundary value problem for a spherical reduction of the Z4c formulation with a particular choice of the puncture gauge. Numerical evidence for the efficacy of the conditions is presented in spherical symmetry.

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