A Cosmological Model with Second Law of Thermodynamics in f(R, T) Gravity

In the context of f (R, T) modified gravity theory, we investigate a cosmological model with homogeneous and anisotropic properties, specifically the Locally Rotationally Symmetric (LRS) Bianchi type-I model. By considering Einstein’s field equations in f (R, T) gravity, we solve them with the choice f (R, T) = R + 2f (T), where R represents the Ricci scalar and T denotes the trace of the stress-energy momentum tensor T_ij. In this case, we set f (T ) = -λT, with λ being an arbitrary constant. It is worth noting that the cosmic jerk parameter j is directly proportional to the negative value of the deceleration parameter q, namely j ∝ - q. We analyze the physical and geometrical properties of the models, and also employ the statefinder diagnostic pair to gain insight into the geometrical nature of the model. We also investigate the validity of the generalized second law of thermodynamics (GSLT) on the apparent and event horizons. Our findings reveal that GSLT holds on both the horizons.