Gravitation Field Dynamics in Jeans Theory

TL;DR

This paper extends Jeans theory by deriving a closed system of equations for gravitation fields and hydrodynamics, incorporating binary correlations, and identifies new types of perturbations.

Contribution

It generalizes Jeans theory with a new set of equations considering binary correlations and discovers two novel perturbation types.

Findings

Derived a closed system of equations for gravitation and hydrodynamics.

Identified two new types of perturbations.

Performed perturbation calculations up to first order.

Abstract

Closed system of time equations for nonrelativistic gravitation field and hydrodynamic medium was obtained by taking into account binary correlations of the field, which is the generalization of Jeans theory. Distribution function of the systemwas built on the basis of the Bogolyubov reduced description method. Calculations were carried out up to the first order of a perturbation theory in interaction. Adiabatic and enthropic types of perturbations were corrected and two new types of perturbations were found.