A regularisation approach to causality theory for $C^{1,1}$-Lorentzian metrics

Abstract

We show that many standard results of Lorentzian causality theory remain valid if the regularity of the metric is reduced to $C^{1,1}$. Our approach is based on regularisations of the metric adapted to the causal structure.

17 pages, corrects the proof of Thm. 2.7 in the published version

References in corpus (1)

• Singularity Theorems and Their Consequences

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• Globally hyperbolic spacetimes can be defined without the 'causal' condition
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