Anisotropic Dark Energy Cosmology in the Framework of f (R, Lm) Gravity
Abstract
In this paper, we investigated the Locally Rotationally Symmetric (LRS) Bianchi Type-I cosmological model with dark energy in the framework of f (R, Lm) gravity theory, where R is the Ricci scalar and Lm is the matter Lagrangian. Using the functional form f (R, Lm) = R/2 + Lαm + β with Lm = ρ, and applying the special law of variation for the Hubble parameter, we derived exact solutions to the field equations and analyzed the physical and dynamical properties of the universe. Our results show that the model exhibits accelerated expansion consistent with the observational data, with the energy density decreasing and the deceleration parameter transitioning from positive to negative values. The anisotropy parameter initially approaches zero but increases with time for n > 0.5, indicating the evolution from isotropy to anisotropy. These findings provide insights into dark energy behavior within modified gravity frameworks and offer testable predictions for cosmological observations.
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References
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