We investigate a flat FLRW-model in f(R,T)-gravity, which includes the quadratic variation in scalar curvature R and the linear term of the trace of the stress-energy tensor T. In turn, we establish the model has the behaviour of the late time Universe, which is accelerated expanding and ends up in a big rip. Using the parametrization of scale factor a(t), we propose a model, which begins with point-type singularity, i.e., the model starts with a point of zero volume, infinite energy density and infinite temperature. The model's behaviour is accelerated expanding at present and ΛCDM in late times. Finally, the proposed model behaves like a quintessence dark energy model in the present time and is consistent with standard cosmology ΛCDM in late times.
@article{arxiv.2204.07599,
title = {Dynamics of a parametrized dark energy model in $f(R,T)$ gravity},
author = {J. K. Singh and Akanksha Singh and G. K. Goswami and J. Jena},
journal= {arXiv preprint arXiv:2204.07599},
year = {2022}
}