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arXiv · 2310.05987

Slow-roll inflation in $f(T,\mathcal{T})$ modified gravity

Aaqid Bhat·Sanjay Mandal·P. K. Sahoo
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Abstract

In this article, we explore the concept of cosmological inflation within the framework of the $f (T,\mathcal{T})$ theory of gravity, where $f$ is a general function of the Torsion scalar $T$ and the trace, $\mathcal{T}$, of the energy-momentum tensor. It is assumed that the conditions of slow-roll inflation are applicable in$f (T,\mathcal{T})$ gravity. To determine different observables related to inflation, such as the tensor-to-scalar ratio $r$, scalar spectral index $n_s$, spectral index $ \alpha_s $, and tensor spectral index $n_t$, the Hubble slow-roll parameters are utilized for a particular model of $f (T,\mathcal{T})$. Lastly, an assessment has been carried out to determine the feasibility of the models by conducting a numerical analysis of the parameters. The findings indicate that it is feasible to achieve compatibility with the observational measurements of slow-roll parameters by utilizing different values of the free parameters.

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Aaqid Bhat, Sanjay Mandal, P. K. Sahoo. 2023-10-07. Slow-roll inflation in $f(T,\mathcal{T})$ modified gravity. https://doi.org/10.1088/1674-1137%2Fad010f

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