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 exact form for in Regge's discrete formulation gravity is derived, by considering appropriate products rotation matrices constructed around null-homotopic paths. The an algebraic deficit angles belonging to neighbouring hinges. As continuum, derived valid arbitrarily curved manifolds without restriction weak small limit, but general not linear curvatures.