Cosmological models with a hybrid scale factor in an extended gravity theory

TL;DR

This paper develops a formalism for Bianchi type VI_h universes in extended gravity, using a hybrid scale factor that transitions from power law to exponential expansion, to explore cosmological dynamics.

Contribution

It introduces a new formalism for anisotropic universes in extended gravity with a hybrid scale factor, bridging power law and exponential behaviors.

Findings

Hybrid scale factor models cosmic evolution from power law to exponential expansion.

Extended gravity formalism accommodates anisotropic Bianchi universes.

The model captures early and late universe behaviors as extreme cases.

Abstract

A general formalism to investigate Bianchi type $VI_h$ universes is developed in an extended theory of gravity. A minimally coupled geometry and matter field is considered with a rescaled function of $f(R,T)$ substituted in place of the Ricci scalar $R$ in the geometrical action. Dynamical aspects of the models are discussed by using a hybrid scale factor that behaves as power law in an initial epoch and as an exponential form at late epoch. The power law behaviour and the exponential behaviour appear as two extreme cases of the present model.