107 citations · 338 across the 11 of their papers we have counts for
11 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…
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…
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…
Initial data on big bang singularities in symmetric settings
Hans Ringström
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 purpo…
Wave equations on silent big bang backgrounds
Hans Ringström
This article is the first of two in which we develop a geometric framework for analysing silent and anisotropic big bang singularities. The results of the present article concern t…
Asymptotic expansions close to the singularity in Gowdy spacetimes
Hans Ringstrom
We consider Gowdy spacetimes under the assumption that the spatial hypersurfaces are diffeomorphic to the torus. The relevant equations are then wave map equations with the hyperbo…
Future asymptotic expansions of Bianchi VIII vacuum metrics
Hans Ringstrom
Bianchi VIII vacuum solutions to Einstein's equations are causally geodesically complete to the future, given an appropriate time orientation, and the objective of this article is…
On Gowdy vacuum spacetimes
Hans Ringstrom
By Fuchsian techniques, a large family of Gowdy vacuum spacetimes have been constructed for which one has detailed control over the asymptotic behaviour. In this paper we formulate…
The future asymptotics of Bianchi VIII vacuum solutions
Hans Ringstrom
Bianchi VIII vacuum solutions to Einstein's equations are causally geodesically complete to the future, given an appropriate time orientation, and the objective of this article is…
Curvature blow up in Bianchi VIII and IX vacuum spacetimes
Hans Ringstrom
The maximal globally hyperbolic development of non-Taub-NUT Bianchi IX vacuum initial data and of non-NUT Bianchi VIII vacuum initial data is C2 inextendible. Furthermore, a curvat…