Anisotropic Model with Constant Jerk Parameter in \(\boldsymbol{f(R,T)}\) Gravity

Abstract

In the context of \(f(R,T)\) modified gravity theory, we consider a homogeneous and anisotropic Bianchi type-I cosmological model which relies on the condition of a constant jerk parameter, \(j=1\), corresponding to a flat \(\Lambda\)CDM model. Under this condition, we obtain two different solutions, one is power-law and the other one is exponential. The power-law solution gives a decelerating model, while the exponential one yields an accelerating cosmology. We discuss the physical and geometric properties of both models, validity of the solutions, and the significance of modified \(f(R,T)\) gravity for the models.