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).

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Description/Abstract

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
ISSNs: 0264-9381 (print)
Subjects:
ePrint ID: 29323
Date :
Date Event
1996Published
Date Deposited: 06 Feb 2007
Last Modified: 16 Apr 2017 22:23
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/29323

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