Area-angle variables for general relativity

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.

7 pages, 1 figure. v2 small changes to match published version

References in corpus (6)

• A new spinfoam vertex for quantum gravity
• The loop-quantum-gravity vertex-amplitude
• Flipped spinfoam vertex and loop gravity
• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
• The complete LQG propagator: II. Asymptotic behavior of the vertex
• Linearized dynamics from the 4-simplex Regge action