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Pasqua, Antonio; Chattopadhyay, Surajit; Radinschi, Irina; Alshehri, Azzah Aziz; Tawfik, Abdel Nasser

Reconstruction schemes of scalar field models for the power law entropy corrected holographic dark energy model with Ricci scalar cut-off. (English) Zbl 1543.83227

Ann. Phys. 465, Article ID 169685, 33 p. (2024).
Summary: In this work, we examine the cosmological characteristics of the Power Law Entropy Corrected Holographic Dark Energy (PLECHDE) model with infrared (IR) cut-off, which is determined by the curvature parameter \(k\), the time derivative of \(H\), and the average radius of the Ricci scalar curvature \(R\), which varies with the Hubble parameter \(H\) squared. We obtain the deceleration parameter \(q\) and the Equation of State (EoS) parameter of Dark Energy (DE) \(\omega_D\). Additionally, we derive the Hubble parameter \(H\) and the scale factor \(a\) expressions as functions of the cosmic time \(t\). Additionally, we examine the limiting scenario that pertains to a flat Dark Dominated Universe. Furthermore, we establish a correspondence between the DE model considered and some scalar fields, in particular the Generalized Chaplygin Gas, the Modified Chaplygin Gas, the Modified Variable Chaplygin Gas, the New Modified Chaplygin Gas, the Viscous Generalized Chaplygin Gas, the Dirac-Born-Infeld, the Yang-Mills, and the Non Linear Electrodynamics scalar field models.

MSC:

83F05 Relativistic cosmology
83E05 Geometrodynamics and the holographic principle

Keywords:

dark energy; scalar field; cosmic acceleration; Chaplygin gas
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Full Text: DOI arXiv

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