Inflation in f(R,T) gravity with Double-Well potential

TL;DR

This paper investigates inflation within the f(R,T) gravity framework using a Double-Well potential, showing compatibility with Planck 2018 data for specific model parameters.

Contribution

It introduces a specific f(R,T) gravity model with a Double-Well potential and analyzes its inflationary predictions against observational data.

Findings

For λ=150, the model's predictions match Planck 2018 data.

Admissible λ range for consistency with data is 145 to 222.

The model remains viable with Planck constraints for certain parameter values.

Abstract

In this piece of work, we studied the inflation in the context of ${f(R,T)}$ theory of gravity. We assumed the functional form of ${f(R,T)}$ to be $R+ 16 \pi G \lambda T$, where R is the Ricci scalar, T is the trace of the Energy-Momentum tensor and $\lambda$ is the model parameter. The cosmological observable parameters like scalar spectral index $n_s$ and tensor-to-scalar ratio $r$ are estimated for Double-Well potential. We found that for $\lambda = 150$, $n_s$ and $r$ are in good agreement with Planck 2018 data. Further, considering the vacuum expectation value in Double-Well potential to be Planckian, we observed the admissible range of model parameter to be $145 < \lambda < 222$ for which this model remains consistent with Planck 2018 data.