LRS Bianchi Type-I Universe with both Deceleration and Acceleration in f(R,T) Gravity

Abstract

In the present study we investigate f(R,T) gravity with cosmological constant term Λ. we obtain the gravitational field equation in the metric formalism, which follow from the covariant divergence of the stress-energy tensor for the specific choice of f(R,T) =f₁(R)+f₂(T),with an individual superior functions f₁(R) = λ₁R and f₂(R) = λ₂T. Allowing for time dependent deceleration parameter we find the solution of the field equations corresponds to the scale factor a = sqrt(te^t). Moreover, some physical and geometrical properties of the universe discuss in detail.