Eur. Phys. J. Plus (2016) 131: 182
https://doi.org/10.1140/epjp/i2016-16182-7

Regular Article

Cosmological properties and reconstruction of scalar field models of the Holographic Dark Energy model with Granda-Oliveros cut-off in Kaluza-Klein cosmology

¹ Department of Physics, University of Trieste, Trieste, Italy
² Pailan College of Management and Technology, Bengal Pailan Park, 700 104, Kolkata, India
³ College of Science, Department of Physics, University of Wasit, Wasit, Iraq
⁴ Département de Physique, Université d’Agriculture de Kétou, BP 13, Kétou, Benin
⁵ Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Benin

^* e-mail: toto.pasqua@gmail.com

Received: 9 March 2016
Accepted: 24 April 2016
Published online: 2 June 2016

Abstract

In this paper, we study the properties of the Holographic Dark Energy (HDE) model in the context of Kaluza-Klein (KK) cosmology with infrared cut-off given by the recently proposed by Granda-Oliveros cut-off, which contains a term proportional to the time derivative of the Hubble parameter and one proportional to the Hubble parameter squared. Moreover, this cut-off is characterized by two free parameters which are the proportional constants of the two terms of the cut-off. We derive the expression of the Equation of State (EoS) parameter and of the deceleration parameter q for both non-interacting and interacting Dark Sectors and in the limiting case of a flat Dark Dominated Universe. Moreover, we study the squared speed of the sound and the statefinder diagnostic in order to understand the cosmological properties of the model considered. We also develop a correspondence between the model considered and three scalar field models: the tachyon, the k-essence and the quintessence ones.