$C^{0}$-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913511777501184 |
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| author | Graf, Melanie Beld-Serrano, Marco van den |
| author_facet | Graf, Melanie Beld-Serrano, Marco van den |
| contents | Starting from the proof of the $C^0$-inextendibility of Schwarzschild by Sbierski, the past decade has seen renewed interest in showing low-regularity inextendibility for known spacetime models. Specifically, a lot of attention has been paid to FLRW spacetimes and there is an ever growing array of results in the literature. Apart from hoping to provide a concise summary of the state of the art we present an extension of work by Galloway and Ling on $C^0$-inextendibility of certain FLRW spacetimes within a subclass of spherically symmetric spacetimes, to $C^0$-inextendibility within a subclass of axisymmetric spacetimes. Notably our result works in the case of flat FLRW spacetimes with $a(t)\to 0$ for $t\to 0^+$, a setting where other known $C^0$-inextendibility results for FLRW spacetimes due to Sbierski do not apply. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13799 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $C^{0}$-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes Graf, Melanie Beld-Serrano, Marco van den Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics 53C50, 53B30, 83C99 Starting from the proof of the $C^0$-inextendibility of Schwarzschild by Sbierski, the past decade has seen renewed interest in showing low-regularity inextendibility for known spacetime models. Specifically, a lot of attention has been paid to FLRW spacetimes and there is an ever growing array of results in the literature. Apart from hoping to provide a concise summary of the state of the art we present an extension of work by Galloway and Ling on $C^0$-inextendibility of certain FLRW spacetimes within a subclass of spherically symmetric spacetimes, to $C^0$-inextendibility within a subclass of axisymmetric spacetimes. Notably our result works in the case of flat FLRW spacetimes with $a(t)\to 0$ for $t\to 0^+$, a setting where other known $C^0$-inextendibility results for FLRW spacetimes due to Sbierski do not apply. |
| title | $C^{0}$-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes |
| topic | Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics 53C50, 53B30, 83C99 |
| url | https://arxiv.org/abs/2409.13799 |