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Area-angle variables for general relativity

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arxiv 0802.0864 v3 pith:R74IAQSC submitted 2008-02-06 gr-qc hep-lathep-th

Bianca Dittrich , Simone Speziale This is my paper · ORCID
classification gr-qchep-lathep-th
keywords variablesgeneralgravityrelativityanglesapplicationsapproachesarea-angle
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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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  1. Renormalization group flows in area-metric gravity

    gr-qc 2025-07 conditional novelty 7.0 of 10

    The first renormalization group analysis of area-metric gravity shows shape-mismatching masses grow toward the infrared, parity is not emergent, and the Immirzi parameter flow has fixed points at γ=0 and γ=∞.

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