Numerical Modeling of the Solutions of the Jacobi Equation on a Geodesic with Random Curvature

Details Numerical Modeling of the Solutions of the Jacobi Equation on a Geodesic with Random Curvature Numerical Modeling of the Solutions of the Jacobi Equation on a Geodesic with Random Curvature

Jul 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005arep...49..520a&link_type=abstract

Astronomy Reports, vol. 49, Issue 7, p.520-525

Astronomy and Astrophysics

Astronomy

1

Scientific paper

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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