https://doi.org/10.1140/epjp/i2016-16408-8
Regular Article
Power-law entropy-corrected holographic dark energy in Hořava-Lifshitz cosmology with Granda-Oliveros cut-off
1
Department of Physics, University of Trieste, Trieste, Italy
2
Pailan College of Management and Technology, Bengal Pailan Park, 700 104, Kolkata, India
3
Eurasian International Center for Theoretical Physics, Eurasian National University, 010008, Astana, Kazakhstan
* e-mail: toto.pasqua@gmail.com
Received:
24
March
2016
Accepted:
22
October
2016
Published online:
21
November
2016
In this paper, we study the Power-Law Entropy-Corrected Holographic Dark Energy (PLECHDE) model in the framework of Hořava-Lifshitz cosmology considering a non-flat Universe. As infrared cut-off of the system, we choose the recently proposed Granda-Oliveros (GO) cut-off, which is a function of the Hubble parameter squared H2 and of the first time derivative of the Hubble parameter 
. Moreover, the GO cut-off is characterized by two constant parameters, 
and 
, representing the multiplying factors of the two terms forming the cut-off itself. We derive the evolutionary form of the fractional energy densities of DE, DM and curvature 
, 
and 
, the pressure of DE pD, the Equation-of-State (EoS) parameter of DE 
and the deceleration parameter q . Using the parametrization of the EoS parameter 
, we obtain the expressions of 
and 
. We also study the behavior of the statefinder parameters {r,s}, the snap and lerk cosmographic parameters 
and l and the squared speed of the sound v
s
2 in order to have a better comprehension of the properties of the model considered. We also calculate the present day values of the quantities we study for different values of the running parameter 
(which is a characteristic parameter of Hořava-Lifshitz cosmology) and for different sets of values of and . All the quantities are derived for both non-interacting and interacting DE and Dark Matter (DM).
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
