Turbulence in Cosmology. I: The Effect of the Strong Turbulence on the Early Evolution of the Universe
Abstract
Principles of the theory of turbulence in relativistic cosmology are developed. By averaging Einstein's equations over stochastic fields a selfconsistent system of equations is obtained which describes statistically: (1) the influence of the turbulence on the ‘basic state of the Universe (the background) on which the turbulence develops; (2) the behaviour of the turbulence on the background ‘distorted’ by it. By means of a qualitative study of exact equations in the region of a strong turbulence at an early stage of cosmological expansion conditions of the absence of singularity are found and the possibility of stationary solutions in the homogeneous, isotropic, on the average, Universe (the cosmological constantA=0) is shown. The rate of cosmological expansion increases if the energy density of the turbulence is positive, and decreases if it is negative. The latter alternative takes place if the absolute value of the energy density of excitations, which will change into potential motions in the future, exceeds the energy density of the remaining part of the turbulence.
 Publication:

Astrophysics and Space Science
 Pub Date:
 May 1975
 DOI:
 10.1007/BF00644797
 Bibcode:
 1975Ap&SS..34..249M
 Keywords:

 Cosmology;
 Relativistic Theory;
 Turbulence Effects;
 Astronomical Models;
 Einstein Equations;
 Galactic Clusters;
 Galactic Evolution;
 Galaxies;
 Gravitational Waves;
 Relativity;
 Singularity (Mathematics);
 Spatial Distribution;
 Astrophysics