Abstract
In the present work, we have studied some features of the generalized Brans-Dicke (BD) model in which the scalar field is allowed to couple nonminimally with the matter sector. Extended holographic Ricci dark energy (EHRDE) has been considered in the above framework of BD cosmology. Some restrictions have been derived for the BD parameter ω, and a stronger matter-chameleon coupling has been observed with the expansion of the universe. In this framework, the equation of the state parameter of EHRDE has behaved like quintom. Also, we have reconstructed the potential and coupling function for BD model for the EHRDE. It has been observed that the potential function is increasing as the matter-chameleon coupling is getting stronger.
Highlights
Accumulating the observational data of Supernovae Type Ia (SN Ia) by the year 1998, Riess et al [1] in the High-redshift Supernova Search Team and Perlmutter et al [2] in the Supernova Cosmology Project Team have independently reported that the present universe is accelerating
We will assume special forms for V, f, a, and φ and derive conditions that strengthen matter-chameleon coupling with the expansion of the universe
We have studied some features of the generalized Brans-Dicke theory (BD) model in which the scalar field is allowed to couple nonminimally with the matter sector
Summary
Accumulating the observational data of Supernovae Type Ia (SN Ia) by the year 1998, Riess et al [1] in the High-redshift Supernova Search Team and Perlmutter et al [2] in the Supernova Cosmology Project Team have independently reported that the present universe is accelerating. In a recent paper, [33] considered a generalized BD model with power-law form of the scale factor and the coupling functions as the inputs and allowed nonminimal coupling with the matter sector to show that accelerated expansion of the universe can be realized for a contrained range of exponents of the potential function. Treating the BD scalar field as a chameleon scalar field and taking a nonminimal coupling of the scalar field with matter, [42] studied cosmological implication of holographic dark energy in the BD gravity. Reference [43] investigated the cosmological applications of interacting holographic dark energy in BD theory with chameleon scalar field which is nonminimally coupled to the matter field and observed that phantom crossing can be constructed if the model parameters are chosen suitably. Like [42], we will assume that ρΛ and pressureless dark matter are conserved separately, and we will assume a nonminimal coupling between the scalar field and the matter field
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