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Effect of density fluctuations on the expansion of the universe far from the singularity

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The effect of fluctuations in the density of matter on the expansion of the universe far from the singularity is analyzed on the basis of a model with a three-dimensional space which is homogeneous and isotropie on the average. The fluctuations reduce the gravitational effect, retarding the expansion. This effect of the fluctuations increases as the expansion proceeds and can strongly affect the expansion velocity. An equation is derived for the age of the universe on the basis of this model. The age is expressed in terms of observable quantities: the Hubble constant and the acceleration parameter. It is shown that fluctuations lead to an increase in this age. It is concluded that fluctuations must be taken into account in studying the expansion of the observable universe.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 7–11, January, 1977.

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Petrov, V.V. Effect of density fluctuations on the expansion of the universe far from the singularity. Soviet Physics Journal 20, 1–4 (1977). https://doi.org/10.1007/BF00891415

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  • Density Fluctuation
  • Gravitational Effect
  • Expansion Velocity
  • Observable Quantity
  • Hubble Constant