Energy Bounds in f(R, ϕ) Gravity with Anisotropic Backgrounds

Abstract This research work discusses the energy bounds in f(R, ϕ) with anisotropic background. For this purpose, a BT-I cosmological model in f(R, ϕ) is considered. After calculating field equations, we find the exact solutions by considering field equations of the f(R, ϕ) gravity model. To investigate the cosmic expansion, we explore the model f(R, ϕ) for f ( R , ϕ ) = R ( 1 + α 2 R 2 ϕ 2 ) and f ( R , ϕ ) = ϕ ( R + α R 2 ) . We formulate the inequalities in energy constraints and use the Hubble, deceleration, jerk and snap parameters to evaluate the feasibility of the models given above. Graphical analysis shows that the NEC, WEC and DEC are satisfied with the appropriate anisotropy values and model parameters for the given above two f(R, ϕ) gravity models. In fact, for both of considered models, SEC is violated and models are found favorable for cosmic expansion.