Cosmological models with Big rip and Pseudo rip Scenarios in extended theory of gravity

TL;DR

This paper explores big rip and pseudo rip cosmological models within extended gravity theories, showing phantom behavior and energy condition violations consistent with observational data.

Contribution

It introduces specific big rip and pseudo rip models in extended gravity, aligning geometrical parameters with cosmological observations and analyzing their effects on universe evolution.

Findings

Models favor phantom behavior.

Violation of strong energy conditions.

Coupling parameters significantly influence universe evolution.

Abstract

In this paper, we have presented the big rip and pseudo rip cosmological models in an extended theory of gravity. The matter field is considered to be that of perfect fluid. The geometrical parameters are adjusted in such a manner that it matches the prescriptions given by cosmological observations, to be specific to the range of Hubble tension $(H_{0})$. The models favor phantom behavior. The violation of strong energy conditions are shown in both the models, as it has become essential in an extended gravity. The representative values of the coupling parameter are significant on the evolution of the universe.