Analytic structure of radiation boundary kernels for blackhole perturbations
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
Exact outer boundary conditions for gravitational perturbations of the Schwarzschild metric feature integral convolution between a time-domain boundary kernel and each radiative mode of the perturbation. For both axial (Regge-Wheeler) and polar (Zerilli) perturbations, we study the Laplace transform of such kernels as an analytic function of (dimensionless) Laplace frequency. We present numerical evidence indicating that each such frequency-domain boundary kernel admits a "sum-of-poles" representation. Our work has been inspired by Alpert, Greengard, and Hagstrom's analysis of nonreflecting boundary conditions for the ordinary scalar wave equation.
Cite
@article{arxiv.gr-qc/0507140,
title = {Analytic structure of radiation boundary kernels for blackhole perturbations},
author = {Stephen R. Lau},
journal= {arXiv preprint arXiv:gr-qc/0507140},
year = {2009}
}
Comments
revtex4, 14 pages, 12 figures, 3 tables