Table of Contents
ISRN High Energy Physics
Volume 2014, Article ID 535010, 11 pages
http://dx.doi.org/10.1155/2014/535010
Research Article

A Dark Energy Model with Higher Order Derivatives of in the Modified Gravity Model

1Department of Physics, University of Trieste, Via Valerio 2, 34127 Trieste, Italy
2Pailan College of Management and Technology, Bengal Pailan Park, Kolkata 700 104, India
3Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan

Received 20 September 2013; Accepted 23 October 2013; Published 29 January 2014

Academic Editors: B. Bilki and C. A. D. S. Pires

Copyright © 2014 Antonio Pasqua et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider a model of dark energy (DE) which contains three terms (one proportional to the squared Hubble parameter, one to the first derivative, and one to the second derivative with respect to the cosmic time of the Hubble parameter) in the light of the modified gravity model, with and being two constant parameters. and represent the curvature and torsion scalars, respectively. We found that the Hubble parameter exhibits a decaying behavior until redshifts (when it starts to increase) and the time derivative of the Hubble parameter goes from negative to positive values for different redshifts. The equation of state (EoS) parameter of DE and the effective EoS parameter exhibit a transition from to (showing a quintom-like behavior). We also found that the model considered can attain the late-time accelerated phase of the universe. Using the statefinder parameters and , we derived that the studied model can attain the phase of the universe and can interpolate between dust and phase of the universe. Finally, studying the squared speed of sound , we found that the considered model is classically stable in the earlier stage of the universe but classically unstable in the current stage.