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Generalised functions and distributional curvature of cosmic strings

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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Citation

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).

More information

Published date: 1996

Identifiers

Local EPrints ID: 29323
URI: http://eprints.soton.ac.uk/id/eprint/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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Contributors

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

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