# Phantom cosmology in an Extended Theory of Gravity

## TL;DR

This paper explores extended gravity models that avoid big rip singularities, analyzing Little Rip and Pseudo Rip scenarios, wormhole solutions, and the impact of coupling constants on cosmic evolution.

## Contribution

It introduces a novel extended gravity framework with a linear Ricci scalar and trace of energy-momentum tensor, studying its effects on phantom cosmology and wormhole solutions.

## Key findings

- Models avoid big rip singularity.
- Equation of state approaches -1 asymptotically.
- Wormhole solutions and Big Trip possibilities identified.

## Abstract

Some phantom cosmological models without big rip singularity have been constructed in a simple extended theory of gravity. In the geometrical part of the action, a minimally coupled linear function of the Ricci Scalar and the trace of the energy momentum tensor have been considered in place of the Ricci scalar. Four Little Rip and Pseudo Rip models have been investigated where the equation of state parameter evolves asymptotically and sufficiently rapidly to $-1$. The effect of the coupling constant of the extended gravity theory on the dynamics has been discussed. Possible wormhole solutions for the phantom models are obtained. The possibility of Big Trip in wormholes are discussed for the models.