Numerical Brill-Lindquist initial data with a Schwarzschildean end at spatial infinity
General Relativity and Quantum Cosmology
2015-05-20 v1
Abstract
We construct numerically time-symmetric initial data that are Schwarzschildean at spatial infinity and Brill-Lindquist in the interior. The transition between these two data sets takes place along a finite gluing region equipped with an axisymmetric Brill wave metric. The construction is based on an application of Corvino's gluing method using Brill waves due to Giulini and Holzegel. Here, we use a gluing function that includes a simple angular dependence. We also investigate the dependence of the ADM mass of our construction on the details of the gluing procedure.
Cite
@article{arxiv.1412.4590,
title = {Numerical Brill-Lindquist initial data with a Schwarzschildean end at spatial infinity},
author = {Georgios Doulis and Oliver Rinne},
journal= {arXiv preprint arXiv:1412.4590},
year = {2015}
}
Comments
6 pages, 1 figure, 1 table. Conference proceedings for the Spanish Relativity Meeting, Valencia 2014