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pro vyhledávání: '"Ringström, Hans"'
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 singularity remains unclear. We therefore ask: If the initial hypersurface has s
Externí odkaz:
http://arxiv.org/abs/2309.11370
Autor:
Ringström, Hans
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 liter
Externí odkaz:
http://arxiv.org/abs/2202.11458
Autor:
Ringström, Hans
The goal of this article is to parametrise solutions to Einstein's equations with big bang singularities and quiescent asymptotics. To this end, we introduce a notion of initial data on big bang singularities and conjecture that it can be used to par
Externí odkaz:
http://arxiv.org/abs/2202.04919
Autor:
Ringström, Hans
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 conclusions obtained by combining the geometric framework with Einste
Externí odkaz:
http://arxiv.org/abs/2101.04955
Autor:
Ringström, Hans
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 the asymptotic behaviour of solutions to linear systems of wave equatio
Externí odkaz:
http://arxiv.org/abs/2101.04939
Autor:
Ringström, Hans
Publikováno v:
Commun. Math. Phys. 372, 599-656 (2019)
In this paper, we study solutions to the Klein-Gordon equation on Bianchi backgrounds. In particular, we are interested in the asymptotic behaviour of solutions in the direction of silent singularities. The main conclusion is that, for a given soluti
Externí odkaz:
http://arxiv.org/abs/1808.00786
Autor:
Ringström, Hans
Publikováno v:
Ast\'erisque No. 420 (2020), 1-526
The subject of the article is linear systems of wave equations on cosmological backgrounds with convergent asymptotics. The condition of convergence corresponds to the requirement that the second fundamental form, when suitably normalised, converges.
Externí odkaz:
http://arxiv.org/abs/1707.02803
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