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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.05257 |
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| _version_ | 1866916352369885184 |
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| author | Miethke, Benedikt |
| author_facet | Miethke, Benedikt |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05257 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $C^0$-inextendibility of the Kasner spacetime Miethke, Benedikt General Relativity and Quantum Cosmology 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. |
| title | $C^0$-inextendibility of the Kasner spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2408.05257 |