Harmonic Initial-Boundary Evolution in General Relativity

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dc.creatorBabiuc, Maria C.
dc.creatorSzilagyi, Bela
dc.creatorWinicour, Jeffrey
dc.date2006-01-10
dc.date2006-03-14
dc.date.accessioned2026-07-07T10:44:05Z
dc.date.available2026-07-07T10:44:05Z
dc.descriptionComputational 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.
dc.description31 pages, 14 figures, submitted to Physical Review D
dc.identifierhttps://arxiv.org/abs/gr-qc/0601039
dc.identifierhttp://arxiv.org/abs/gr-qc/0601039
dc.identifierPhys.Rev.D73:064017,2006
dc.identifierdoi:10.1103/PhysRevD.73.064017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182470
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHarmonic Initial-Boundary Evolution in General Relativity
dc.typetext

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