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arXiv · 1310.4404

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

Michael Kunzinger·Roland Steinbauer·James A. Vickers·Milena Stojkovic
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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.

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Michael Kunzinger, Roland Steinbauer, James A. Vickers, Milena Stojkovic. 2013-10-16. A regularisation approach to causality theory for $C^{1,1}$-Lorentzian metrics. https://doi.org/10.1007/s10714-014-1738-7

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