Improved outer boundary conditions for Einstein's field equations

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dc.creatorBuchman, Luisa T.
dc.creatorSarbach, Olivier C. A.
dc.date2007-03-26
dc.date2007-04-30
dc.date.accessioned2026-07-07T11:21:56Z
dc.date.available2026-07-07T11:21:56Z
dc.descriptionIn a recent article, we constructed a hierarchy B_L of outer boundary conditions for Einstein's field equations with the property that, for a spherical outer boundary, it is perfectly absorbing for linearized gravitational radiation up to a given angular momentum number L. In this article, we generalize B_2 so that it can be applied to fairly general foliations of spacetime by space-like hypersurfaces and general outer boundary shapes and further, we improve B_2 in two steps: (i) we give a local boundary condition C_2 which is perfectly absorbing including first order contributions in 2M/R of curvature corrections for quadrupolar waves (where M is the mass of the spacetime and R is a typical radius of the outer boundary) and which significantly reduces spurious reflections due to backscatter, and (ii) we give a non-local boundary condition D_2 which is exact when first order corrections in 2M/R for both curvature and backscatter are considered, for quadrupolar radiation.
dc.descriptionaccepted Class. Quant. Grav. numerical relativity special issue; 17 pages and 1 figure
dc.identifierhttps://arxiv.org/abs/gr-qc/0703129
dc.identifierhttp://arxiv.org/abs/gr-qc/0703129
dc.identifierClass.Quant.Grav.24:S307-S326,2007
dc.identifierdoi:10.1088/0264-9381/24/12/S20
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194410
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleImproved outer boundary conditions for Einstein's field equations
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