Exact Bianchi Identities in Regge Calculus

Physics

Scientific paper

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Scientific paper

In 3-d and 4-d, exact expressions for the uncontracted Bianchi Identites in terms of geometric quantites (volumes, areas, deficit angles, etc.), valid for arbitrary deficit angles, were found. This was confirmed in two cases: the 3-d case with four edges emanating from a vertex, and the 4-d case with five edges emanating from a vertex. Also, limiting forms of the uncontracted Bianchi Identities in the small deficit angle cases were found.

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