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Generalised Functions and Distributional Curvature of Cosmic Strings

C J S Clarke·J A Vickers·J P Wilson
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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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C J S Clarke, J A Vickers, J P Wilson. 1996-05-28. Generalised Functions and Distributional Curvature of Cosmic Strings. https://doi.org/10.1088/0264-9381%2F13%2F9%2F013

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