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Area Regge calculus and discontinuous metrics

Chris Wainwright et al 2004 Class. Quantum Grav. 21 4865-4880   doi: 10.1088/0264-9381/21/21/008  Help

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Chris Wainwright1 and Ruth M Williams1,2
1 DAMTP, Wilberforce Road, Cambridge CB3 0WA, UK
2 Girton College, Cambridge CB3 0JG, UK
E-mail: C.J.Wainwright@damtp.cam.ac.uk and R.M.Williams@damtp.cam.ac.uk

Abstract. Taking the triangle areas as independent variables in the theory of Regge calculus can lead to ambiguities in the edge lengths, which can be interpreted as discontinuities in the metric. We construct solutions to area Regge calculus using a triangulated lattice and find that on a spacelike or timelike hypersurface no such discontinuity can arise. On a null hypersurface however, we can have such a situation and the resulting metric can be interpreted as a so-called refractive wave.

PACS numbers: 04.60.Nc, 04.60.Pp

Print publication: Issue 21 (7 November 2004)
Received 15 June 2004, in final form 31 August 2004
Published 4 October 2004

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