Area Regge Calculus and Discontinuous Metrics

Details Area Regge Calculus and Discontinuous Metrics Area Regge Calculus and Discontinuous Metrics

2004-05-06

arxiv.org/abs/gr-qc/0405031v1

Class.Quant.Grav. 21 (2004) 4865-4880

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 1 figure

Scientific paper

10.1088/0264-9381/21/21/008

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 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.

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