Soviet Physics Journal

, Volume 29, Issue 12, pp 1019–1023 | Cite as

Light propagation in a weak gravitational field of a stochastic system of pointlike sources

  • K. A. Piragas
  • V. I. Zhdanov
  • V. V. Zhdanova
  • I. T. Zhuk
Physics of Elementary Particles and Field Theory

Abstract

Trajectories of light rays in a gravitational field created by a homogeneous distribution of pointlike masses are considered in the framework of General Relativity. A method of approximate computation of statistical characteristics of such trajectories is suggested, with the accuracy up to first order in the gravitational constant. The estimates of the shift in the direction of a light ray and of the change in the angular coordinates of the light source are obtained.

Keywords

General Relativity Light Source Statistical Characteristic Gravitational Field Homogeneous Distribution 

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Literature cited

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    L. D. Landau and E. M. Lifshits, Field Theory [in Russian], Nauka, Moscow (1967), Sec. 98.Google Scholar
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    V. F. Mukhanov, Uspekhi Fiz. Nauk,133, No. 4, 729 (1981).Google Scholar
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    S. Hacyan, Ap. Lett.,22, No. 3, 97 (1982).Google Scholar
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    S. Chandrasekhar, Stochastic Problems in Physics and Astronomy [Russian translation], IL, Moscow (1947).Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • K. A. Piragas
    • 1
  • V. I. Zhdanov
    • 1
  • V. V. Zhdanova
    • 1
  • I. T. Zhuk
    • 1
  1. 1.Pedagogical InstituteVilnius

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