Perfect Fluid Cosmological Models with time-varying Constants

TL;DR

This paper explores perfect fluid cosmological models with time-varying constants, deriving new solutions using symmetry methods and highlighting their physical relevance in matter creation scenarios.

Contribution

It introduces novel solutions for variable-constant cosmological models using Lie symmetry analysis, distinct from causal bulk viscous fluid models.

Findings

New solutions derived via Lie symmetry method.

Solutions are physically relevant with matter creation.

Distinct from previous bulk viscous fluid models.

Abstract

In this paper, we study in detail a perfect fluid cosmological model with time-varying "constants" using dimensional analysis and the symmetry method. We examine the case of variable "constants" in detail without considering the perfect fluid model as a limiting case of a model with a causal bulk viscous fluid as discussed in a recent paper. We obtain some new solutions through the Lie method and show that when matter creation is considered, these solutions are physically relevant.