Cosmological study with hyperbolic solution in modified f(Q, T) gravity theory

This work investigates the background of flat FLRW metric within the framework of f(Q, T) gravity theory. We construct two cosmological models whose functional form in f(Q, T) formalism are considered as (i) f (Q, T) = beta Q + gamma T and (ii) f (Q, T) = beta Q(n)(+1) + gamma T. To achieve an exact solution of highly nonlinear modified field equations, we have taken the parameterization of the scale factor as a hyperbolic function. The behavior of physical parameters viz. energy density (rho), pressure (p), and equation of state parameter (omega) for appropriate choice of model parameters beta, gamma, and n is obtained and that supports the accelerating expansion of the cosmic universe. We have discussed all the energy conditions NEC, WEC, DEC, and SEC to test the self-stability and self-consistency of the models. Additionally, the validity of our model is checked via Jerk, Snap, and Statefinder diagnostic parameters.