Evolution of simple configurations of gravitating gas

TL;DR

This paper investigates the dynamics of gravitating gas, deriving exact solutions for its Euler equations under simple initial conditions, revealing insights into its behavior as a continuous media with unique properties.

Contribution

It provides the first exact solutions for the Euler equations of gravitating gas with simple initial conditions, advancing understanding of its dynamics.

Findings

Exact solutions for gravitating gas Euler equations obtained

Revealed unique properties of gravitating gas dynamics

Enhanced theoretical understanding of continuous media with gravity

Abstract

We considered the dynamics of gravitating gas - a continuous media with peculiar properties. The exact solutions of its Euler equations for simple initial conditions is obtained.