Exact Bianchi Identity in Regge Gravity

摘要: In the continuum Bianchi identity implies a relationship between different components of curvature tensor, thus ensuring internal consistency gravitational field equations. this paper an exact form for in Regge's discrete formulation gravity is derived, by considering appropriate products rotation matrices constructed around null-homotopic paths. It algebraic deficit angles belonging to neighboring hinges. As continuum, derived valid arbitrarily curved manifolds, without restriction weak field, small limit, but general not linear curvatures.