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Generalised functions and distributional curvature of cosmic strings

Generalised functions and distributional curvature of cosmic strings
Generalised functions and distributional curvature of cosmic strings
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.
0264-9381
2485-2498
Clarke, C.J.S.
710ae030-aebe-49df-b475-c6b37d5dab47
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
Wilson, J.P.
99f77ded-dfa0-4865-b73d-e4afb37b1158
Clarke, C.J.S.
710ae030-aebe-49df-b475-c6b37d5dab47
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
Wilson, J.P.
99f77ded-dfa0-4865-b73d-e4afb37b1158

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).

Record type: Article

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.

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Published date: 1996

Identifiers

Local EPrints ID: 29323
URI: https://eprints.soton.ac.uk/id/eprint/29323
ISSN: 0264-9381
PURE UUID: 3f9a17b6-2319-4740-bf07-438bc8bd4bbc
ORCID for J.A. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

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Date deposited: 06 Feb 2007
Last modified: 05 Nov 2019 02:09

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