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原文連結
論文資訊
- 類型：已發表論文
- 日期：1997
摘要
We investigate the signature of the Lund-Regge metric on spaces of simplicial 3-geometries which are important in some formulations of 量子 gravity. Tetrahedra can be joined together to make a three-dimensional piecewise linear manifold. A metric on this manifold is specified by assigning a flat metric to the interior of the tetrahedra and values to their squared edge lengths. The subset of the space of squared edge lengths obeying triangle and analogous inequalities is simplicial configuration space. We derive the Lund-Regge metric on simplicial configuration space and show how it provides the shortest distance between simplicial 3-geometries among all choices of gauge inside the simplices for defining this metric (Regge gauge freedom). We show analytically that there is always at least one
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