Area Regge calculus and discontinuous metrics
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 socalled refractive wave.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 November 2004
 DOI:
 10.1088/02649381/21/21/008
 arXiv:
 arXiv:grqc/0405031
 Bibcode:
 2004CQGra..21.4865W
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 18 pages, 1 figure