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In this paper, we study the late accelerating expansion of the universe by incorporating bulk viscous matter with the running vacuum. The running vacuum is assumed to be varied as the square of the Hubble parameter ([Formula: see text]), while the coefficient of bulk viscosity of matter is taken to be proportional to the Hubble parameter ([Formula: see text]). We have analytically solved for the Hubble parameter and estimated the model parameters using the combined data set [Formula: see text]. The evolution of the cosmological parameters was analyzed, and the universe’s age is estimated to be 13.94[Formula: see text]Gyr. The evolution of the universe in the present model marked considerable improvement compared to bulk viscous matter-dominated models. The transition from matter-dominated decelerated phase to vacuum energy-dominated accelerating phase occurred at a transition redshift, [Formula: see text], and the evolution asymptotically approaches a de Sitter epoch. We have obtained the coefficient of bulk viscosity of the matter component as [Formula: see text] which is two orders of magnitude less than the value predicted by most of the bulk viscous matter-dominated models. The statefinder analysis distinguishes our model from the [Formula: see text]CDM model at present, and the [Formula: see text] trajectory reveals the quintessence behavior of the vacuum energy. The model was found to satisfy the generalized second law of thermodynamics, and the entropy is maximized in the far future evolution.
In this paper, we study the late accelerating expansion of the universe by incorporating bulk viscous matter with the running vacuum. The running vacuum is assumed to be varied as the square of the Hubble parameter ([Formula: see text]), while the coefficient of bulk viscosity of matter is taken to be proportional to the Hubble parameter ([Formula: see text]). We have analytically solved for the Hubble parameter and estimated the model parameters using the combined data set [Formula: see text]. The evolution of the cosmological parameters was analyzed, and the universe’s age is estimated to be 13.94[Formula: see text]Gyr. The evolution of the universe in the present model marked considerable improvement compared to bulk viscous matter-dominated models. The transition from matter-dominated decelerated phase to vacuum energy-dominated accelerating phase occurred at a transition redshift, [Formula: see text], and the evolution asymptotically approaches a de Sitter epoch. We have obtained the coefficient of bulk viscosity of the matter component as [Formula: see text] which is two orders of magnitude less than the value predicted by most of the bulk viscous matter-dominated models. The statefinder analysis distinguishes our model from the [Formula: see text]CDM model at present, and the [Formula: see text] trajectory reveals the quintessence behavior of the vacuum energy. The model was found to satisfy the generalized second law of thermodynamics, and the entropy is maximized in the far future evolution.
In this work, we test the ability of an exact solution, found in the framework of a nonlinear extension of the Israel–Stewart theory, to fit the supernovae Ia, gravitational lensing, and black hole shadow data. This exact solution is a generalization of one previously found for a dissipative unified dark matter model in the context of the near-equilibrium description of dissipative processes, where we do not have the full regime of the nonlinear picture. This generalized solution is restricted to the case where a positive entropy production is guaranteed and is tested under the condition that ensures its causality, local existence, and uniqueness. From the observational constraints, we found that this generalized solution is a good candidate in the description of the observational late-time data used in this work, with best-fit values of H0=73.2−0.9+0.8km/sMpc, q0=−0.41−0.03+0.03, ξ^0=0.88−0.17+0.09, ϵ=0.34−0.04+0.03, and k=0.27−0.20+0.37, at a 1σ(68.3%) of confidence level. We show that the nonlinear regime of the Israel–Stewart theory consistently describes the recent accelerated expansion of the universe without the inclusion of some kind of dark energy component and also provides a more realistic description of the fluids that make up the late universe.
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