Brill Waves with Slow Fall-Off Towards Spatial Infinity
General Relativity and Quantum Cosmology
2025-05-21 v2 Mathematical Physics
math.MP
Abstract
We compute families of solutions to the Einstein vacuum equations of the type of Brill waves, but with slow fall-off towards spatial infinity. We prove existence and uniqueness of solutions for physical data and numerically construct some representative solutions. We numerically construct an explicit example with slow-off which does not exhibit antipodal symmetry at spatial infinity.
Keywords
Cite
@article{arxiv.2501.07877,
title = {Brill Waves with Slow Fall-Off Towards Spatial Infinity},
author = {Lydia Bieri and David Garfinkle and James Wheeler},
journal= {arXiv preprint arXiv:2501.07877},
year = {2025}
}
Comments
12 pages, 6 figures