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• W3098243913 abstract "In the continuum the Bianchi identity implies a relationship between different components of the curvature tensor, thus ensuring the internal consistency of the gravitational field equations. In this paper an exact form for the Bianchi identity in Regge's discrete formulation of gravity is derived, by considering appropriate products of rotation matrices constructed around null-homotopic paths. It implies an algebraic relationship between deficit angles belonging to neighboring hinges. As in the continuum, the derived identity is valid for arbitrarily curved manifolds, without a restriction to the weak field, small curvature limit, but is in general not linear in the curvatures." @default.
• W3098243913 created "2020-11-23" @default.
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• W3098243913 date "2004-12-01" @default.
• W3098243913 modified "2023-09-27" @default.
• W3098243913 title "Exact Bianchi identity in Regge gravity" @default.
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• W3098243913 doi "https://doi.org/10.1088/0264-9381/21/24/013" @default.
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