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arXiv · 2408.05257

$C^0$-inextendibility of the Kasner spacetime

Benedikt Miethke
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Abstract

The Kasner spacetime is a cosmological model of an anisotropic expanding universe without matter and is an exact solution of the Einstein vacuum equations Ric(g) = 0. It is manifestly inextendible as a Lorentzian manifold with a twice differentiable metric. In this thesis we proof that it is even inextendible as a Lorentzian manifold with merely continuous metric, which is a stronger statement. We do so by adapting the proof of the $C^0$-inextendibility of the maximal analytically extended Schwarzschild spacetime established by Jan Sbierski.

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Benedikt Miethke. 2024-08-09. $C^0$-inextendibility of the Kasner spacetime. https://doi.org/10.25365/thesis.76304

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