The annoying null boundaries

Abstract

We consider a class of globally hyperbolic space-times with "expanding singularities". Under suitable assumptions we show that no $C^0$-extensions across a compact boundary exist, while the boundary must be null wherever differentiable (which is almost everywhere) in the non-compact case.

arXiv comment15 pages

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Cited by in corpus (4)

• Aspects of $C^0$ causal theory
• Some regularity results for Lorentz-Finsler spaces
• On the asymptotic assumptions for Milne-like spacetimes
• Low regularity extensions beyond Cauchy horizons