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The globally hyperbolic metric splitting for non-smooth wave-type space-times

We investigate a generalization of the so-called metric splitting of globally hyperbolic space-times to non-smooth Lorentzian manifolds and show the existence of this metric splitting for a class of wave-type space-times. Our approach is based on smooth approximations of non-smooth space-times by families (or sequences) of globally hyperbolic space-times. In the same setting we indicate as an application the extension of a previous result on the Cauchy problem for the wave equation.

preprint2014arXivOpen access
Günther HörmannClemens Sämann
math-phmath.MPgr-qcmath.CAmath.DG
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Günther HörmannClemens Sämann

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