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Area-angle variables for general relativity

2008/02/29 by Bianca Dittrich, Simone Speziale · 1 citation
Physics and Astronomy · #gr-qc #hep-lat #hep-th

paper · pdf · doi:10.1088/1367-2630/10/8/083006

published as NewJ.Phys.10:083006,2008 · 7 pages, 1 figure. v2 small changes to match published version

arxiv created 2008/07/17 · arxiv updated 2009/12/01

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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