Cosmological aspects in the constrained f(T,T) theory using Raychaudhuri equations

Abstract

The modified theory of gravity is one of the finest alternatives to General Relativity because of numerous recent successful research relating to cosmological applications and concordance with observational datasets. In addition, energy conditions are one of the primary requirements that need to be met. In this article, our aim is to constrain the torsion-based $f(T,T)$ gravity using the energy conditions, where $T$ and $T$ are the torsion scalar and the trace of the energy–momentum tensor, respectively. Before determining the energy conditions for two distinct functional forms of $f(T,T)$, the energy conditions for the general theory of $f(T,T)$ are derived from the well-known Raychaudhuri equations. Following that, a restricted range is obtained by constraining the model parameters using the energy conditions. Even though both of our models violate the strong energy condition, which indicates the accelerated expansion of the Universe, we compare our models to the conventional $\Lambda$CDM model and the recent observations to provide additional context to our findings.