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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Original Publication URL: http://dx.doi.org/10.1088/0264-9381/13/9/013
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 |
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| Related URLs: | |
| Subjects: | Q Science > QC Physics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| Item ID: | 29323 |
| Date Deposited: | 06 Feb 2007 |
| Last Modified: | 02 Mar 2012 13:06 |
| Contributors: | Clarke, C.J.S. (Author) Vickers, J.A. (Author) Wilson, J.P. (Author) |
| Date: | 1996 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29323 |
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