Accepted Paper

An Oscillating Holographic dark energy in f(R) gravity

A.Y. Shaikh1, D.P. Tadas2, S.D. Katore3
1Department of Mathematics, Indira Gandhi Mahavidyalaya, Ralegaon-445402, India
2Department of Mathematics, Toshniwal Arts, Commerce and Science College Sengaon, Dist. Hingoli, Maharashtra-431542, India
3Department of Mathematics, Sant Gadge Baba Amravati University Amravati, Maharashtra-444602, India
Abstract. In this article, we investigated a Locally Rotationally Symmetric (LRS) Bianchi-II cosmological model with matter and Holographic Dark Energy (HDE) in the context of f(R) theory of gravity. In order to find exact solutions to the field equations, we assumed that the Shear scalar (σ) is proportional to Expansion scalar (θ). For HDE, it is observed that the Equation of state (EoS) parameter ωΛ has an oscillating nature and lies in [-0.778, 1.016]. Also, we have studied the validity of energy conditions and shows that Null Energy Condition (NEC) is violated near the bouncing points. Moreover, we analysed the physical and geometrical aspects of the investigated model.

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