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Area–angle variables for general relativity

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Published 5 August 2008 Published under licence by IOP Publishing Ltd
, , Citation Bianca Dittrich and Simone Speziale 2008 New J. Phys. 10 083006 DOI 10.1088/1367-2630/10/8/083006

1367-2630/10/8/083006

Abstract

We introduce a modified Regge calculus for general relativity on a triangulated four-dimensional Riemannian manifold where the fundamental variables are areas and a certain class of angles. These variables satisfy constraints which are local in the triangulation. We expect the formulation to have applications to classical discrete gravity and non-perturbative approaches to quantum gravity.

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10.1088/1367-2630/10/8/083006