Particle dynamics in the original Schwarzschild metric


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Abstract

The properties of the original Schwarzschild metric for a point gravitating mass are considered. The laws of motion in the corresponding space–time are established, and the transition from the Schwarzschildmetric to the metric of a “dusty universe” are studied. The dynamics of a system of particles in thr post-Newtonian approximation are analyzed.

About the authors

N. N. Fimin

Keldysh Institute of Applied Mathematics

Author for correspondence.
Email: oberon@kiam.ru
Russian Federation, Moscow

V. M. Chechetkin

Keldysh Institute of Applied Mathematics

Email: oberon@kiam.ru
Russian Federation, Moscow

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