https://doi.org/10.1140/epjp/i2013-13147-4
Regular Article
A study on the dependence of the dimensionless Brans-Dicke parameter on the scalar field and their time dependence
1
Department of Physics, St. Xavier’s College, 700 016, Kolkata, India
2
Pailan College of Management and Technology, Bengal Pailan Park, 700 104, Kolkata, India
3
Department of Physics, University of Trieste, Via Valerio, 2 34127, Trieste, Italy
* e-mail: roy.sudipto1@gmail.com
Received:
2
August
2013
Accepted:
22
October
2013
Published online:
3
December
2013
The present paper reports a study on the dimensionless parameter 
in Brans-Dicke theory. Based on a particular choice of scale factor a , we have investigated the signature flip of the deceleration parameter q to see whether the transition from decelerated to accelerated expansion of the universe is achievable under this choice of scale factor. Restrictions on the parameters obtained for this choice of scale factor have been subsequently used for discussing the Brans-Dicke parameter for two choices of scalar fields 
. Moreover, analytical solutions for the Brans-Dicke parameter without any assumption about the scalar field have been obtained from the modified field equations through the choice of scale factor under consideration. Viable models have been obtained by comparing the results with observations.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013
