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A study on the dependence of the dimensionless Brans-Dicke parameter on the scalar field and their time dependence

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Abstract.

The present paper reports a study on the dimensionless parameter \( \omega\) 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 \( \phi\) . 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.

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Authors and Affiliations

  1. Department of Physics, St. Xavier’s College, 700 016, Kolkata, India

    Sudipto Roy

  2. Pailan College of Management and Technology, Bengal Pailan Park, 700 104, Kolkata, India

    Surajit Chattopadhyay

  3. Department of Physics, University of Trieste, Via Valerio, 2 34127, Trieste, Italy

    Antonio Pasqua

Authors
  1. Sudipto Roy
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  2. Surajit Chattopadhyay
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  3. Antonio Pasqua
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Correspondence to Sudipto Roy.

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Roy, S., Chattopadhyay, S. & Pasqua, A. A study on the dependence of the dimensionless Brans-Dicke parameter on the scalar field and their time dependence. Eur. Phys. J. Plus 128, 147 (2013). https://doi.org/10.1140/epjp/i2013-13147-4

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  • DOI: https://doi.org/10.1140/epjp/i2013-13147-4

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