Chris Wainwright and Ruth M Williams 2004 Class. Quantum Grav. 21 4865 doi:10.1088/0264-9381/21/21/008
Chris Wainwright1 and Ruth M Williams1,2
Show affiliationsTaking 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.
83C27 Lattice gravity, Regge calculus and other discrete methods
Issue 21 (7 November 2004)
Received 15 June 2004, in final form 31 August 2004
Published 4 October 2004
Chris Wainwright and Ruth M Williams 2004 Class. Quantum Grav. 21 4865
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