Cosmological Models with Variable Constants.Their Solution Through Similarity Methods

TL;DR

This paper explores solving cosmological differential equations with variable constants using similarity methods, introducing new solutions and comparing them with existing results.

Contribution

It demonstrates how to apply dimensional techniques to solve variable-constant cosmological models and presents new solutions not previously reported.

Findings

Successfully solves differential equations with variable constants using similarity methods.

Provides new solutions and compares them with existing literature.

Enhances understanding of cosmological models with time-dependent constants.

Abstract

In this work we compile a few differential equations (ODEs) that arise from the relativistic equations in cosmological models that consider the ``constants'' as scalars functions dependent on time and they are described as perfect as well as viscous fluids. The general idea of the paper is to show how to solve the equations of the models through dimensional techniques (self-similarity). The results are compared with those obtained by other authors and new solutions are introduced.