On the Average Effect of a Highly Turbulent Gravito-Hydrodynamic Field in the Hadron Era of the Universe. III : Complete Set of Dynamical Equations

概要

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We have recently developed a formalism for dealing with the average effect of a highly turbulent gravito-hydrodynamic field in the hadron era of the universe, which leads to the required modification of Einstein's equations so as to admit the regular isotropic model-universe studied previously. Dynamical equations thus obtained for mean-value quantities of the turbulent field are, however, incomplete in numbers owing to nonlinearity of the gravito-hydrodynamic phenomena. To get rid of this difficulty, in the second-order approximation with respect to four fundamental turbulent quantities corresponding to metric, velocity, density and entropy fluctuations, the complementary dynamical equations are derived from the original Einstein's equations for the fluctuating field.
理論物理学刊行会の論文
1975-11-25