5 papers
Complete asymptotics in the formation of quiescent big bang singularities
Andrés Franco-Grisales, Hans Ringström
There are three categories of mathematical results concerning quiescent big bang singularities: the derivation of asymptotics in a symmetry class; the construction of spacetimes gi…
Formation of quiescent big bang singularities
Hans Oude Groeniger, Oliver Petersen, Hans Ringström
Hawking's singularity theorem says that cosmological solutions arising from initial data with positive mean curvature have a past singularity. However, the nature of the singularit…
Local existence theory for a class of CMC gauges for the Einstein-non-linear scalar field equations
Hans Ringström
The purpose of this article is to develop a local existence theory for a class of CMC gauges for the Einstein-non-linear scalar field equations. We do so in the context of closed a…
On the structure of big bang singularities in spatially homogenous solutions to the Einstein non-linear scalar field equations
Hans Ringström
The subject of this article is the structure of big bang singularities in spatially homogeneous solutions to the Einstein non-linear scalar field equations. In particular, we focus…
On the geometry of silent and anisotropic big bang singularities
Hans Ringström
This article is the second of two in which we develop a geometric framework for analysing silent and anisotropic big bang singularities. In the present article, we record geometric…