Eur. Phys. J. Plus (2011) 126: 80
https://doi.org/10.1140/epjp/i2011-11080-2

Regular Article

Cosmic evolution in Brans-Dicke chameleon cosmology

¹ Center for Advanced Mathematics and Physics (CAMP), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan
² School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan
³ Department of Physics, Faculty of Sciences, Tarbiat Moa’llem University, Tehran, Iran

^* e-mail: d.momeni@yahoo.com

Received: 19 May 2011
Revised: 14 July 2011
Accepted: 9 August 2011
Published online: 8 September 2011

Abstract

We have investigated the Brans-Dicke chameleon theory of gravity and obtained exact solutions of the scale factor a(t) , the scalar field (t) , an arbitrary function f () which interact with the matter Lagrangian in the action of the Brans-Dicke chameleon theory and the potential V() for different epochs of the cosmic evolution. We plot the functions a(t) , (t) , f (t) and V() for different values of the Brans-Dicke parameter. In our models, there is no accelerating solution, only a decelerating one with q > 0 . The physical cosmological distances have been investigated carefully. Further, the statefinder parameters pair and deceleration parameter are discussed.