The stability of test body motion in cosmological models of general relativity

Mathematics – Logic

Scientific paper

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Scientific paper

The stability of arbitrary geodesic motions in cosmological Einstein, De
Sitter and Friedmann models has been investigated. It is shown that
these motions are unstable by Lyapunov but according to Lagrange they
are stable. The stability conditions in a finite interval of time have
been found. The orbital stability has been considered.

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