https://doi.org/10.1140/epjp/s13360-020-00411-x
Regular Article
Exploring the Sharma–Mittal HDE models with different diagnostic tools
Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura, Uttar Pradesh, 281406, India
* e-mail: sharma.umesh@gla.ac.in
Received:
14
March
2020
Accepted:
19
April
2020
Published online:
2
May
2020
In this paper, we have examined the Sharma–Mittal holographic dark energy model (SMHDE) in the framework of an isotropic and spatially homogeneous flat Friedmann–Robertson–Walker Universe by considering different values of parameter 
and R, where the infrared cut-off is taken care by the Hubble horizon. We examined the SMHDE model through the analysis of statefinder hierarchy and the growth rate of perturbation. The evolutionary trajectories of the statefinder hierarchy 
, 
, 
versus redshift z, show satisfactory behaviour throughout the Universe evaluation. One promising tool for investigating the dark energy models is the CND 
and 
, where the evolutionary trajectories of the 
and 
pair present different properties and the departure from 
could be well evaluated. Additionally, we investigated the dynamical analysis of the model by 
pair analysis.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
