Constraints on Area Variables in Regge Calculus

Details Constraints on Area Variables in Regge Calculus Constraints on Area Variables in Regge Calculus

2000-11-02

arxiv.org/abs/gr-qc/0011006v2

Class.Quant.Grav.18:L43-,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Typographical errors corrected

Scientific paper

10.1088/0264-9381/18/4/102

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.

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