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behavior of geodesic

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  • Jacobi field — In Riemannian geometry, a Jacobi field is a vector field along a geodesic gamma in a Riemannian manifold describing the difference between the geodesic and an infinitesimally close geodesic. In other words, the Jacobi fields along a geodesic form …   Wikipedia

  • Geodesics as Hamiltonian flows — In mathematics, the geodesic equations are second order non linear differential equations, and are commonly presented in the form of Euler–Lagrange equations of motion. However, they can also be presented as a set of coupled first order equations …   Wikipedia

  • Introduction to general relativity — General relativity (GR) is a theory of gravitation that was developed by Albert Einstein between 1907 and 1915. According to general relativity, the observed gravitational attraction between masses results from the warping of space and time by… …   Wikipedia

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