Dynamic model of spherical perturbations in the Friedman universe. III. Automodel solutions

TL;DR

This paper derives and investigates a class of exact, spherically symmetric perturbations in a Friedman universe, focusing on automodel solutions linearized around the background, applicable to an ideal fluid with arbitrary barotropic index.

Contribution

It introduces a new class of exact automodel solutions for spherical perturbations in the Friedman universe, extending previous models to arbitrary barotropic fluids.

Findings

Derived explicit automodel solutions for spherical perturbations.

Analyzed stability and properties of these solutions.

Applicable to a wide range of barotropic fluid models.

Abstract

A class of exact spherically symmetric perturbations of retarding automodel solutions linearized around Friedman background of Einstein equations for an ideal fluid with an arbitrary barotrope value is obtained and investigated.