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

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arxiv 1310.4404 v4 pith:GVP45PE2 submitted 2013-10-16 math.DG math-phmath.MP

classification math.DGmath-phmath.MP
keywords approachcausalitylorentzianmetrictheoryadaptedcausalmany
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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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