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Constraints on Area Variables in Regge Calculus

Jarmo Makela·Ruth M. Williams
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Abstract

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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Jarmo Makela, Ruth M. Williams. 2000-11-14. Constraints on Area Variables in Regge Calculus. https://doi.org/10.1088/0264-9381%2F18%2F4%2F102

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