2007/03/31 by Luisa T. Buchman, Olivier Sarbach, Olivier C. A. Sarbach · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1088/0264-9381/24/12/s20
published as Class.Quant.Grav.24:S307-S326,2007 · accepted Class. Quant. Grav. numerical relativity special issue; 17 pages and 1 figure
arxiv created 2007/04/30 · openalex publication_date 2007/06/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
In a recent article, we constructed a hierarchy 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 paper, we generalize 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 in two steps: (i) we give a local boundary condition which is perfectly absorbing including first-order contributions in 2 M / 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 which is exact when first-order corrections in 2 M / R for both curvature and backscatter are considered, for quadrupolar radiation.