Viscous Ricci Dark Energy Cosmological Models in Brans-Dicke Theory

Abstract

The whole article deals with the analysis of the cosmic model of Ruban’s space-time in the context of a bulk viscosity impact in the form of Ricci dark energy within the framework Brans-Dicke theory. We believe that outer space is filled with dark matter and viscous Ricci dark energy (VRDE) under the pressureless situation. The velocity and rate at which the Universe is expanding are presumed to be proportional to the coefficient of total bulk viscosity, is in the form, \({\upxi }_{0}+{\upxi }_{1}\dot{a}/a+{\upxi }_{2}\ddot{a}/a,\) where \({\upxi }_{0},{\upxi }_{1}\) and \({\upxi }_{2}\) are the constants. To solve the RDE model's field equations, we utilize the relation among the metric potentials and also the power-law relation among the average scale factor a(t) and scalar field ϕ. To examine the evolutionary dynamics of the Universe, we investigate the deceleration parameter q, jerk parameter j, EoS parameter \({\upomega }_{de},\) Om(z) , stability of the obtained models through the square speed of the sound \({v}_{s}^{2},{\upomega }_{de}-{\omega }_{de}{\prime}\) plane, statefinder parameter planes (r, s) and (q, r) and presented via graphical representation. By the end of the discussion, VRDE model was found to be compatible with the present accelerated expansion of the Universe.