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), 2485-2498. (doi:10.1088/0264-9381/13/9/013).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1088/0264-9381/13/9/013
Related URLs:
Subjects: Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29323
Accepted Date and Publication Date:
Date Deposited: 06 Feb 2007
Last Modified: 31 Mar 2016 11:54

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