Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418270 | Journal of Mathematical Analysis and Applications | 2014 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Günther Hörmann, Clemens Sämann,