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Advances in High Energy Physics
Volume 2014, Article ID 594781, 11 pages
Research Article

Correspondence of Modified Gravity with Scalar Field Models

1Department of Mathematics, COMSATS Institute of Information Technology, Lahore 54000, Pakistan
2Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711 103, India

Received 16 June 2014; Revised 11 October 2014; Accepted 11 October 2014; Published 2 November 2014

Academic Editor: Elias C. Vagenas

Copyright © 2014 Abdul Jawad and Ujjal Debnath. 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. The publication of this article was funded by SCOAP3.


This paper is devoted to study the scalar field dark energy models by taking its different aspects in the framework of gravity. We consider flat FRW universe to construct the equation of state parameter governed by gravity. The stability of the model is discussed with the help of squared speed of sound parameter. It is found that models show quintessence behavior of the universe in stable as well as unstable modes. We also develop the correspondence of model with some scalar field dark energy models like quintessence, tachyonic field, k-essence, dilaton, hessence, and DBI-essence. The nature of scalar fields and corresponding scalar potentials is being analyzed in gravity graphically which show consistency with the present day observations about accelerated phenomenon.