标题： $C^{0}$- 在轴对称时空子类中的FLRW时空不可延拓性 显示英文标题

标题： $C^{0}$-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes

摘要： 从Sbierski对施瓦茨希尔德时空的$C^0$不可延拓性的证明开始，过去十年中，人们重新关注于展示已知时空模型的低正则性不可延拓性。 具体而言，大量注意力集中在FLRW时空上，并且文献中不断出现越来越多的结果。 除了希望提供当前最新研究的简明总结外，我们还扩展了Galloway和Ling关于在球对称时空的一个子类中某些FLRW时空的$C^0$不可延拓性的研究，将其推广到轴对称时空的一个子类中的$C^0$不可延拓性。 值得注意的是，我们的结果适用于平坦FLRW时空具有$a(t)\to 0$对于$t\to 0^+$的情况，在这种情况下，其他已知的由于Sbierski提出的FLRW时空的$C^0$不可延拓性结果并不适用。 显示英文摘要

摘要： 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.