On the Singular Points of Geodesic Lines of Dynamical Systems in General Relativity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Relativity, Gravitation, Methods: Analytical

Scientific paper

In many tasks of the theory of gravitation and astrophysics it is necessary to know the common properties of the geodesic lines of space-time with the given distribution of matter. In the paper we discuss the general case of existence of equilibrium points of the geodesic lines. It is shown that in the space-time continuum the geodesic lines do not have points of equilibrium.

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