Flächenbelegungen und Topologie in der allgemeinen Relativitätstheorie



The definition of a surface density of matter on a surface ∑ by essential discontinuities of the first derivations of the metric gμν across ∑ is depending on the geodesic completeness of the manifold and on the hypothesis g ± 0. We give a general definition of surface densities and we prove that some cases of geodesic incompleteness of the manifold are corresponding to surface densities of matter.