Spectral methods for the spin-2 equation near the cylinder at spatial infinity
General Relativity and Quantum Cosmology
2018-05-24 v2
Abstract
We solve, numerically, the massless spin-2 equations, written in terms of a gauge based on the properties of conformal geodesics, in a neighbourhood of spatial infinity using spectral methods in both space and time. This strategy allows us to compute the solutions to these equations up to the critical sets where null infinity intersects with spatial infinity. Moreover, we use the convergence rates of the numerical solutions to read-off their regularity properties.
Keywords
Cite
@article{arxiv.1803.03980,
title = {Spectral methods for the spin-2 equation near the cylinder at spatial infinity},
author = {Rodrigo P. Macedo and Juan A. Valiente Kroon},
journal= {arXiv preprint arXiv:1803.03980},
year = {2018}
}
Comments
21 pages, 6 figures. Match published version