Numerical modeling of the solutions of the Jacobi equation on a geodesic with random curvature |
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| Authors: | M E Artyushkova D D Sokolov |
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| Institution: | (1) Moscow State University, Moscow, Russia |
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| Abstract: | We have carried out numerical simulations of solutions of the Jacobi equation on a geodesic with arbitrary curvature, describing the propagation of light in a Universe with inhomogeneities. We used a Runge-Kutta method and a special method involving the multiplication of random matrices. The results are compared with analytical predictions of the asymptotic behavior of a typical realization of this equation and of the behavior of the mean and higher-order statistical moments. |
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