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This research work discusses the energy bounds in Formula: see text gravity with an anisotropic background, where Formula: see text is the Ricci scalar and Formula: see text is the trace of the energy–momentum tensor. For our study, we consider the locally rotationally symmetric Bianchi Type-I space-time. Moreover, we calculate the field equations and find exact solutions by considering different Formula: see text gravity models. We investigate the graphical behavior of energy density and pressure components by considering these distinct gravity models. We further use Hubble, deceleration, jerk, and snap parameters to evaluate the viability of our models. We also perform the graphical analysis to observe the behavior of energy conditions especially null energy conditions, weak energy conditions, strong energy conditions, and dominant energy conditions. It can be noticed that all considered Formula: see text gravity models support the idea of the presence of exotic matter, which justifies the phenomenon of expansion of the universe.
Adnan Malik (Mon,) studied this question.