6533b86ffe1ef96bd12cd4b2

RESEARCH PRODUCT

Constraint preserving boundary conditions for the Z4c formulation of general relativity

Sebastiano BernuzziDavid HilditchMilton Ruiz

subject

AstrofísicaPhysicsNuclear and High Energy PhysicsGeneral relativityMathematical analysisBoundary (topology)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologySymmetry (physics)Constraint (information theory)Numerical relativityTheory of relativityClassical mechanicsAstronomiaCircular symmetryBoundary value problem

description

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.

yearjournalcountryeditionlanguage
2010-10-04
https://dx.doi.org/10.48550/arxiv.1010.0523