Numerical modeling of conjugated point distribution along a geodesic with random curvature

Abstract

The Jacobi equation along a geodesic with random curvature describes the light propagation in heterogeneous Universe. Conjugate points on a geodesic correspond to the images of gravitational lenses. The Jacobi equation is simulated and statistical distributions of the distances between conjugate points along geodesics are obtained. Some known theoretical estimates and the results we obtained are compared.