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Register a new userGeneral Bulk-Viscous Solutions and Estimates of Bulk Viscosity in the Cosmic Fluid
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We derive a general formalism for bulk viscous solutions of the energy-conservation-equation for $rho(a,zeta)$, both for a single-component and a multicomponent fluid in the Friedmann universe. For our purposes these general solutions become valuable in estimating order of magnitude of the phenomenological viscosity in the cosmic fluid at present. $H(z)$ observations are found to put an upper limit on the magnitude of the modulus of the present day bulk viscosity. It is found to be $zeta_0sim 10^6~$Pa s, in agreement with previous works. We point out that this magnitude is acceptable from a hydrodynamic point of view. Finally, we bring new insight by using our estimates of $zeta$ to analyse the fate of the future universe. Of special interest is the case $zeta propto sqrt{rho}$ for which the fluid, originally situated in the quintessence region, may slide through the phantom barrier and inevitably be driven into a big rip. Typical rip times are found to be a few hundred Gy.
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Einstein equations projected on to a black hole horizon gives rise to Navier-Stokes equations. Horizon-fluids typically possess unusual features like negative bulk viscosity and it is not clear whether a statistical mechanical description exists for such fluids. In this work, we provide an explicit derivation of the Bulk viscosity of the horizon-fluid based on the theory of fluctuations a la Kubo. The main advantage of our approach is that our analysis remains for the most part independent of the details of the underlying microscopic theory and hence the conclusions reached here are model independent. We show that the coefficient of bulk viscosity for the horizon-fluid matches exactly with the value found from the equations of motion for the horizon-fluid.
We explore the cosmological implications at effective level of matter creation effects in a dissipative fluid for a FLRW geometry; we also perform a statistical analysis for this kind of model. By considering an inhomogeneous Ansatz for the particle production rate we obtain that for created matter of dark matter type we can have a quintessence scenario or a future singularity known as little rip; in dependence of the value of a constant parameter, $eta$, which characterizes the matter production effects. The dimensionless age of this kind of Universe is computed, showing that this number is greater than the standard cosmology value, this is typical of universes with presence of dark energy. The inclusion of baryonic matter is studied. By implementing the construction of the particle production rate for a dissipative fluid by considering two approaches for the expression of the bulk viscous pressure; we find that in Eckart model we have a big rip singularity leading to a catastrophic matter production and in the truncated version of the Israel-Stewart model such rate remains bounded leading to a quintessence scenario. For a non adiabatic dissipative fluid, we obtain a positive temperature and the cosmic expansion obeys the second law of thermodynamics.
In this paper, we have proposed a model of accelerating Universe with binary mixture of bulk viscous fluid and dark energy. and probed the model parameters: present values of Hubbles constant $H_{0}$, Equation of state paper of dark energy $omega_{de}$ and density parameter of dark energy $(Omega_{de})_{0}$ with recent OHD as well as joint Pantheon compilation of SN Ia data and OHD. Using cosmic chronometric technique, we obtain $H_{0} = 69.80 pm 1.64~km~s^{-1}Mpc^{-1}$ and $70.0258 pm 1.72~km~s^{-1}Mpc^{-1}$ by restricting our derived model with recent OHD and joint Pantheon compilation SN Ia data and OHD respectively. The age of the Universe in derived model is estimated as $t_{0} = 13.82 pm 0.33; Gyrs$. Also, we observe that derived model represents a model of transitioning Universe with transition redshift $z_{t} = 0.7286$. We have constrained the present value of jerk parameter as $j_{0} = 0.969 pm 0.0075$ with joint OHD and Pantheon data. From this analysis, we observed that the model of the Universe, presented in this paper shows a marginal departure from $Lambda$CDM model.
In this paper, we have investigated a bulk viscous anisotropic Universe and constrained its model parameters with recent $H(z)$ and Pantheon compilation data. Using cosmic chronometric technique, we estimate the present value of Hubbles constant as $H_{0} = 69.39 pm 1.54~km~s^{-1}Mpc^{-1}$, $70.016 pm 1.65~km~s^{-1}Mpc^{-1}$ and $69.36 pm 1.42~km~s^{-1}Mpc^{-1}$ by bounding our derived model with recent $H(z)$ data, Pantheon and joint $H(z)$ and Pantheon data respectively. The present age of the Universe is specified as $t_0= 0.9796H_0^{-1}sim 13.79$ Gyrs. The model favours a transitioning Universe with the transition red-shift as $z_{t} = 0.73$. We have reconstructed the jerk parameter using the observational data sets. From the analysis of the jerk parameter, it is observed that, our derived model shows a marginal departure from the concordance $Lambda$CDM model.
We studied bulk viscosity in the modified $f(Q,T)$ gravity theory formalism, where $Q$ represents the non-metricity and $T$ denotes the trace of energy-momentum tensor within a flat Friedmann-Lema^{i}tre-Robertson-Walker metric (FLRW). We consider the effective equation of state, which includes a bulk viscosity term explicitly. We find the exact solutions relating to bulk viscosity by assuming a specific form of $f(Q,T)=alpha Q+beta T$, where $alpha$ and $beta$ are constants. Furthermore, we constrained our model with revised Hubble datasets consisting of 57 data points and newly published Pantheon samples with 1048 points to obtain the best fitting values of the model parameters. Our model is found to be in good agreement with observations. Furthermore, we analysed the cosmological behavior of the density parameter, the equation of state (EoS) parameter ($omega$), and the deceleration parameter ($q$). The universe appears to be evolving from a decelerated to an accelerated phase. The EoS parameter is further found to be in the quintessence phase, indicating that the universe is accelerating. We can deduce that the accumulation of bulk viscosity as effective dark energy is responsible for the current accelerated expansion of the universe.
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