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arXiv · 1310.1310

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

Günther Hörmann·Clemens Sämann
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Abstract

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.

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BibTeXRIS

Günther Hörmann, Clemens Sämann. 2013-10-04. The globally hyperbolic metric splitting for non-smooth wave-type space-times. https://doi.org/10.1016/j.jmaa.2014.05.086

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