Swampland dS conjecture in Mimetic $f(R, T)$ gravity

TL;DR

This paper explores the compatibility of mimetic $f(R, T)$ gravity inflation models with the swampland de Sitter conjecture, analyzing stability and observational consistency using cosmological parameters and Planck data.

Contribution

It introduces inflation solutions within mimetic $f(R, T)$ gravity and assesses their viability against swampland conjectures and observational data.

Findings

Certain inflation models satisfy swampland criteria

Models show compatibility with Planck observational data

Stability analysis supports model viability

Abstract

In this paper, we study a theory of gravity called mimetic $f(R, T)$ in the presence of swampland dS conjecture. For this purpose, we introduce several inflation solutions of the Hubble parameter H(N) from $f(R, T)= R+\delta T$ gravity model, in which R is Ricci scalar, and T denotes the trace of the energy-momentum tensor. Also, $\delta$ and $N$ are the free parameter and a number of e-fold, respectively. Then we calculate quantities such as potential, Lagrange multiplier, slow-roll, and some cosmological parameters such as $n_{s}$ and $r$. Then we challenge the mentioned inflationary model from the swampland dS conjecture. We discuss the stability of the model and investigate the compatibility or incompatibility of this inflationary scenario with the latest Planck observable data.