The globally hyperbolic metric splitting for non-smooth wave-type space-times |
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Authors: | Günther Hörmann Clemens Sämann |
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Institution: | Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria |
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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. The approach used 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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Keywords: | Generalized functions Regularization Lorentzian manifolds Non-smooth space-times Wave-type space-times |
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