Stability of noncircular and infinite motions of test bodies in general relativity

Physics

Scientific paper

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Scientific paper

The stability of finite noncircular and infinite motions of nonspinning and spinning test bodies in the Schwarzschild field has been investigated. It is shown that these motions are unstable by Lyapunov relative to variablesr,dot r,θ ,dot θ . The conditions of the stability in a finite interval of time for these motions have been found. The time interval of the motion stability has been numerically estimated.

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