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Gravitational perturbations in the expanding universe in a coordinate representation

  • Physics of Elementary Particles and Field Theory
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Russian Physics Journal Aims and scope

Abstract

Gravitational perturbations in the expanding universe are analyzed within the framework of Newtonian cosmology. In contrast to classical work, the perturbations are found not in a Fourier but in a coordinate representation. This makes it possible to obtain general expressions for finding the distributions of perturbations in the density and velocity of matter as a function of the coordinates and time from the known distribution at the initial time. In the simplest cases of plane-symmetric and spherically symmetric distributions, analytical equations are obtained for density perturbations as a function of the coordinates and time. The final conclusion is that it is possible for gravitational perturbations to grow even when the characteristic size of a perturbation is less than the Jeans wavelength.

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Authors
  1. A. V. Zakharov
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Additional information

Kazan’ State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 45–52, March, 1997.

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Zakharov, A.V. Gravitational perturbations in the expanding universe in a coordinate representation. Russ Phys J 40, 256–264 (1997). https://doi.org/10.1007/BF02510826

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  • DOI: https://doi.org/10.1007/BF02510826

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