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RESEARCH PRODUCT

Variation of Area Variables in Regge Calculus

Jarmo Mäkelä

subject

PhysicsPhysics and Astronomy (miscellaneous)High Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciencesRegge calculusGeneral Relativity and Quantum Cosmology (gr-qc)Action (physics)General Relativity and Quantum CosmologyHigh Energy Physics::TheoryGeneral Relativity and Quantum CosmologyVariation (linguistics)High Energy Physics::ExperimentMathematical physics

description

We consider the possibility to use the areas of two-simplexes, instead of lengths of edges, as the dynamical variables of Regge calculus. We show that if the action of Regge calculus is varied with respect to the areas of two-simplexes, and appropriate constraints are imposed between the variations, the Einstein-Regge equations are recovered.

https://dx.doi.org/10.48550/arxiv.gr-qc/9801022