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Generalised functions and distributional curvature of cosmic strings

Clarke, C.J.S., Vickers, J.A. and Wilson, J.P. (1996) Generalised functions and distributional curvature of cosmic strings Classical and Quantum Gravity, 13, (9), pp. 2485-2498. (doi:10.1088/0264-9381/13/9/013).

Record type: Article


A new method is presented for assigning distributional curvature, in an invariant manner, to a spacetime of low differentiability, using the techniques of Colombeau's `new generalized functions'. The method is applied to show that the scalar curvature density of a cone is equivalent to a delta function. The same is true under small enough perturbations.

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Published date: 1996


Local EPrints ID: 29323
ISSN: 0264-9381
PURE UUID: 3f9a17b6-2319-4740-bf07-438bc8bd4bbc

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Date deposited: 06 Feb 2007
Last modified: 17 Jul 2017 15:58

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Author: C.J.S. Clarke
Author: J.A. Vickers
Author: J.P. Wilson

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