Harmonic Initial-Boundary Evolution in General Relativity

Details Harmonic Initial-Boundary Evolution in General Relativity Harmonic Initial-Boundary Evolution in General Relativity

2006-01-10

arxiv.org/abs/gr-qc/0601039v2

Phys.Rev.D73:064017,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, 14 figures, submitted to Physical Review D

Scientific paper

10.1103/PhysRevD.73.064017

Computational techniques which establish the stability of an evolution-boundary algorithm for a model wave equation with shift are incorporated into a well-posed version of the initial-boundary value problem for gravitational theory in harmonic coordinates. The resulting algorithm is implemented as a 3-dimensional numerical code which we demonstrate to provide stable, convergent Cauchy evolution in gauge wave and shifted gauge wave testbeds. Code performance is compared for Dirichlet, Neumann and Sommerfeld boundary conditions and for boundary conditions which explicitly incorporate constraint preservation. The results are used to assess strategies for obtaining physically realistic boundary data by means of Cauchy-characteristic matching.

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