Initial data on big bang singularities in symmetric settings

In a recent article, we propose a general geometric notion of initial data on big bang singularities. This notion is of interest in its own right. However, it also serves the purpose of giving a unified perspective on many of the results in the literature. In the present article, we give a partial justification of this statement by rephrasing the results concerning Bianchi class A orthogonal stiff fluid solutions and solutions in the $\mathbb{T}^3$-Gowdy symmetric vacuum setting in terms of our general geometric notion of initial data on the big bang singularity.

2010 Mathematics Subject Classification

53C50, 83C05

Full Text (PDF format)

Received 23 February 2022

Received revised 28 July 2022

Accepted 3 October 2022

Published 18 July 2024