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Soviet Physics Journal

, Volume 23, Issue 5, pp 405–410 | Cite as

Nonlinear effects in the relative dynamics of test bodies in the general theory of relativity. III. The case of slowly varying parameters

  • L. E. Piragas
Article
  • 12 Downloads

Abstract

A solution to the equations of the relative dynamics of test bodies in the framework of general relativity is constructed for the case of slowly varying coefficients (when these last depend on the “truncated” proper time on a reference trajectory). Nonlinear radial oscillations of a test body in the neighborhood of a point of equilibrium in the Nordström space are considered. Some nonlinear effects of stochastic forces in the relative dynamics of test bodies are considered in a space of constant curvature.

Keywords

General Relativity General Theory Nonlinear Effect Proper Time Constant Curvature 
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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • L. E. Piragas
    • 1
  1. 1.Gravitational Research SectionUkrainian Republic Center of Standardization and Metrology, Gosstandart USSRUSSR

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