General Relativity and Gravitation

, Volume 21, Issue 5, pp 447–455 | Cite as

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

  • Alexander A. Bakhan'kov
  • Anton P. Ryabushko
Research Articles

Abstract

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 variables\(r,\dot r,\theta ,\dot \theta \). 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.

Keywords

General Relativity Differential Geometry Finite Interval Motion Stability Test Body 

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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • Alexander A. Bakhan'kov
    • 1
  • Anton P. Ryabushko
    • 2
  1. 1.Department of RadiophysicsByelorussian State UniversityMinskU.S.S.R.
  2. 2.Chair of Higher MathematicsByelorussian Institute for Mechanization of AgricultureMinskU.S.S.R.

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