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

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.

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Literature cited

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 56–61, May, 1980.

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Piragas, L.E. Nonlinear effects in the relative dynamics of test bodies in the general theory of relativity. III. The case of slowly varying parameters. Soviet Physics Journal 23, 405–410 (1980). https://doi.org/10.1007/BF00891630

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Keywords

  • General Relativity
  • General Theory
  • Nonlinear Effect
  • Proper Time
  • Constant Curvature