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Abstract

In this study, we explore the implications of Modified Holographic Dark Energy (MHDE) in the context of Locally Rotationally Symmetric (LRS) Bianchi Type-I space-time under the framework of f(R,T) gravity. The investigation aims to provide an analytical perspective on the longstanding cosmological constant problem by incorporating a functional dependence of the Ricci scalar R and the trace of the energy-momentum tensor T. The dynamical behavior of the universe is examined through the evolution of key cosmological parameters such as the deceleration parameter, the equation of state parameter, and energy density profiles. We derive the field equations governing the cosmic evolution and obtain exact or approximate solutions, depending on the assumptions made on the functional form of f(R,T). Our findings suggest that the incorporation of MHDE within f(R,T) gravity provides a viable alternative to address the cosmological constant problem and offers a better understanding of the late-time acceleration of the universe. Furthermore, the study sheds light on the anisotropic nature of the universe and its impact on cosmic expansion. The results are compared with observational constraints to validate the theoretical model.