Cosmological models with squared trace in modified gravity

TL;DR

This paper explores modified gravity models with squared trace terms, presenting two cosmological models that align with observational data and discuss wormhole solutions and the Big Trip phenomenon.

Contribution

It introduces specific cosmological models within $f(R,\mathcal{T})$ gravity that match observational parameters and extend to wormhole solutions and Big Trip scenarios.

Findings

Models predict cosmological parameters close to observations.

Models reduce to $\Lambda$CDM at late times.

Discussion of wormhole solutions and Big Trip occurrence.

Abstract

In this work we present a few simple cosmological models under the modified theory of gravity in the particular form of $f(R,\mathcal{T})=R+2f(\mathcal{T})$, where $R$ is the Ricci Scalar and $\mathcal{T}$ is the trace of the energy-momentum tensor. Two special cosmological models are studied with (i) hyperbolic scale factor and (ii) specific form of the Hubble parameter. The models are observed to predict relevant cosmological parameters closer to the observational values. Both the models reduce to overlap with the $\Lambda$CDM model at late times. We have discussed some interesting results related to wormhole solutions as evolved from our model. The possible occurrence of Big Trip in wormholes for the models are also discussed.