English

On Bianchi type VI$_0$ spacetimes with orthogonal perfect fluid matter

General Relativity and Quantum Cosmology 2023-11-13 v2 Mathematical Physics math.MP

Abstract

We study the asymptotic behaviour of Bianchi type VI0_0 spacetimes with orthogonal perfect fluid matter satisfying Einstein's equations. In particular, we prove a conjecture due to Wainwright about the initial singularity of such spacetimes. Using the expansion-normalized variables of Wainwright-Hsu, we demonstrate that for a generic solution the initial singularity is vacuum dominated, anisotropic and silent. In addition, by employing known results on Bianchi backgrounds, we obtain convergence results on the asymptotics of solutions to the Klein-Gordon equation on all backgrounds of this type, except for one specific case.

Keywords

Cite

@article{arxiv.1908.02677,
  title  = {On Bianchi type VI$_0$ spacetimes with orthogonal perfect fluid matter},
  author = {Hans Oude Groeniger},
  journal= {arXiv preprint arXiv:1908.02677},
  year   = {2023}
}

Comments

19 pages, 1 figure