Cosmic Evolution in Brans-Dicke Chameleon Cosmology

Abstract

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

To be appear in "The European Physical Journal - Plus (EPJ Plus)",Extended version,15 pages, 17eps figures

References in corpus (13)

• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Holographic dark energy in Brans-Dicke cosmology with chameleon scalar field
• Interacting HDE and NADE in Brans-Dicke Chameleon Cosmology
• Holographic Dark Energy in Brans-Dicke Theory
• Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
• Stability Analysis in Tachyonic Potential Chameleon cosmology
• Interacting entropy-corrected new agegraphic dark energy in Brans-Dicke cosmology
• Statefinder Diagnostic for Dilaton Dark Energy
• Attractors, Statefinders and Observational Measurement for Chameleonic Brans--Dicke Cosmology
• Statefinder Parameters for Tachyon Dark Energy Model
• Statefinder diagnostic for Yang-Mills dark energy model
• Equations of State in the Brans-Dicke cosmology
• Gauss-Codazzi Formalism to Braneworld Scenario within Brans-Dicke Theory

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