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

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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.

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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.

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    V. F. Mukhanov, Uspekhi Fiz. Nauk,133, No. 4, 729 (1981).

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    S. Hacyan, Ap. Lett.,22, No. 3, 97 (1982).

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    S. Chandrasekhar, Stochastic Problems in Physics and Astronomy [Russian translation], IL, Moscow (1947).

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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 79–83, December, 1986.

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Piragas, K.A., Zhdanov, V.I., Zhdanova, V.V. et al. Light propagation in a weak gravitational field of a stochastic system of pointlike sources. Soviet Physics Journal 29, 1019–1023 (1986). https://doi.org/10.1007/BF00896008

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Keywords

  • General Relativity
  • Light Source
  • Statistical Characteristic
  • Gravitational Field
  • Homogeneous Distribution