ANISOTROPIC COSMOLOGICAL MODEL IN A MODIFIED THEORY OF GRAVITATION

In this research, spatially homogeneous and anisotropic LRS Bianchi type-I cosmological model in f(R, T) theory is discussed by choosing the specific form as f(R, T) = R + mu e(-gamma R) + lambda T, here R is the Ricci scalar, T is the trace of the energy-momentum tensor, mu, gamma, and lambda are constants. In this research the functional form consists of an exponential function which is more generalised than linear, quadratic and other polynomials. The solutions of the field equations are derived by considering the following two conditions (i) the scale factor alpha(t) is considered as a hybrid expansion law. By assumption of this scale factor, we can obtain the deceleration parameter as a function of the time dependent variable (ii) sigma proportional to theta (the proportionality of shear scalar with expansion scalar). For the obtained model, the physical and geometrical properties like as Hubble parameter (H), expansion scalar (theta), volume (V), pressure (p), the energy density (rho), equation of state (omega) parameter, state-finder parameter (r, s), deceleration parameter (q), jerk parameter (j) are discussed. The graphical behavior of all the parameters of the model is examined with respect to redshift (z) by taking two different values of mu =-2.985, -2.902. In the discussion of all energy conditions, it is noticed that DEC is satisfied for both the values of mu, whereas NEC is satisfied in past (z > 0), present (z = 0), and violated in future (z < 0) for mu = -2.985, -2.902. For both values of mu, the SEC is violated. The violation of SEC represents the accelerating expansion of the cosmos. The obtained results in the model match with recent observational data.