6533b85cfe1ef96bd12bc97f

RESEARCH PRODUCT

Constraints on Area Variables in Regge Calculus

Jarmo MäkeläRuth M. Williams

subject

PhysicsSimplicial complexTessellation (computer graphics)General methodPhysics and Astronomy (miscellaneous)Simple (abstract algebra)Applied mathematicsEquations of motionFOS: Physical sciencesRegge calculusGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyComputingMethodologies_COMPUTERGRAPHICS

description

We describe a general method of obtaining the constraints between area variables in one approach to area Regge calculus, and illustrate it with a simple example. The simplicial complex is the simplest tessellation of the 4-sphere. The number of independent constraints on the variations of the triangle areas is shown to equal the difference between the numbers of triangles and edges, and a general method of choosing independent constraints is described. The constraints chosen by using our method are shown to imply the Regge equations of motion in our example.

yearjournalcountryeditionlanguage
2000-11-02
https://dx.doi.org/10.48550/arxiv.gr-qc/0011006