Fast algorithms for computing defects and their derivatives in the Regge calculus

Abstract

Any practical attempt to solve the Regge equations, these being a large system of non-linear algebraic equations, will almost certainly employ a Newton-Raphson like scheme. In such cases it is essential that efficient algorithms be used when computing the defect angles and their derivatives with respect to the leg-lengths. The purpose of this paper is to present details of such an algorithm.

38 pages, 10 figures

References in corpus (2)

• Linearized dynamics from the 4-simplex Regge action
• On the linearization of Regge calculus

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