The Jacobi equation on a geodesic of a Riemannian manifold with random curvature describes the propagation of light in a Universe with inhomogeneities. A formula for the effective space curvature is derived within the framework of a model with a gradual loss of memory. This curvature is shown to be negative for any correlation radius. The results are compared with the well-known results obtained within the framework of models with piecewise constant random curvature and a small correlation radius of curvature.
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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