-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes
M Graf, M Beld-Serrano - arXiv preprint arXiv:2409.13799, 2024 - arxiv.org
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 …
decade has seen renewed interest in showing low-regularity inextendibility for known …
Lipschitz inextendibility of weak null singularities from curvature blow-up
J Sbierski - arXiv preprint arXiv:2409.18838, 2024 - arxiv.org
We prove the $ C^{0, 1} _ {\mathrm {loc}} $-inextendibility of weak null singularities without
any symmetry assumptions. The proof introduces a new strategy to infer $ C^{0, 1} …
any symmetry assumptions. The proof introduces a new strategy to infer $ C^{0, 1} …
A Lower Semicontinuous Time Separation Function for Spacetimes
E Ling - Annales Henri Poincaré, 2024 - Springer
The time separation function (or Lorentzian distance function) is a fundamental tool used in
Lorentzian geometry. For smooth spacetimes it is known to be lower semicontinuous, and, in …
Lorentzian geometry. For smooth spacetimes it is known to be lower semicontinuous, and, in …