Generalised Functions and Distributional Curvature of Cosmic Strings
C J S Clarke, J A Vickers, J P Wilson
Abstract
A new method is presented for assigning distributional curvature, in an invariant manner, to a space-time of low differentiability, using the techniques of Colombeau's `new generalised functions'. The method is applied to show that curvature of a cone is equivalent to a delta function. The same is true under small enough perturbations.
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