Area Regge Calculus and Discontinuous Metrics
General Relativity and Quantum Cosmology
2009-11-10 v1
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 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.
Cite
@article{arxiv.gr-qc/0405031,
title = {Area Regge Calculus and Discontinuous Metrics},
author = {Chris Wainwright and Ruth M. Williams},
journal= {arXiv preprint arXiv:gr-qc/0405031},
year = {2009}
}
Comments
18 pages, 1 figure