Year: 2007
Type: article
Abstract: 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.
Source: Classical and Quantum Gravity
Authors: Luisa T Buchman, Olivier C A Sarbach
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2080147129