FRW model with Two -- fluid Source in fractal cosmology

TL;DR

This paper develops a flat FRW cosmological model with matter and radiation fluids within fractal cosmology, deriving solutions using hypergeometric functions and analyzing physical parameters graphically.

Contribution

It introduces a two-fluid FRW model in fractal cosmology with solutions expressed via hypergeometric functions, expanding the understanding of such models.

Findings

Solutions obtained in terms of Kummer's confluent hypergeometric functions

Physical parameters analyzed and discussed through graphical representations

Model incorporates matter and radiation fluids with specific equations of state

Abstract

Present paper deals with flat Friedmann - Robertson - Walker (FRW) model with two - fluid source in fractal cosmology. In this model one fluid represents matter content of the universe and another fluid is radiation field modeling the cosmic microwave background. To get the deterministic model, we have used the relation between pressure and density for matter through the gamma law equation of state $p_{m} = (\gamma-1)\, \rho_{m}, \,\, 1\leq \gamma\leq2$ . The solutions of fractal field equations are obtained in terms of Kummer's confluent hypergeometric function of the first kind. Some physical parameters of the models are obtained and discussed their behavior with the help of graphs in detail.