On the self-similar motion of a gravitating Chaplygin fluid

TL;DR

This paper investigates the self-similar gravitational behavior of a generalized Chaplygin gas, providing analytical and numerical solutions that suggest only expanding models and applying them to galaxy rotation curves.

Contribution

It introduces a new analysis of self-similar solutions for the generalized Chaplygin gas in gravity, including analytical solutions and astrophysical applications.

Findings

Only expanding solutions are possible.

Analytical solutions describe spiral galaxy rotation curves.

Numerical and analytical methods complement each other.

Abstract

A self-similar motion of the generalized Chaplygin gas in its own gravitational field is considered. The problem is being studied numerically and analytically (in the limiting cases). It is shown that the model under consideration admits only expanding solutions. As the astrophysical application of the model, a description of rotating curves of spiral galaxies is suggested by using the analytical solutions obtained in the paper.