Bianchi I "asymptotically Kasner" solutions of the Einstein scalar field equations
General Relativity and Quantum Cosmology
2022-06-22 v1
Abstract
In this work we investigate the asymptotic behaviour of solutions to the Einstein equations with a minimally coupled scalar field. The primary focus of the present paper here establishing under what conditions a solution becomes "asymptotically Kasner" sufficiently close to the initial singularity. To address this question we restrict our attention to Bianchi I space-times. By restricting our attention to a strictly monotonic scalar field we are able to provide necessary conditions on a potential so that the resulting solution is asymptotically Kasner. Moreover, we provide both explicit and numerical examples of asymptotically Kasner space-times.
Keywords
Cite
@article{arxiv.2205.10930,
title = {Bianchi I "asymptotically Kasner" solutions of the Einstein scalar field equations},
author = {Joshua Ritchie},
journal= {arXiv preprint arXiv:2205.10930},
year = {2022}
}