Abstract

Bulk viscosity is the only viscous influence that can change the background dynamics in a homogeneous and isotropic universe. In the present work, we analyze the bulk viscous cosmological model with the bulk viscosity coefficient of the form zeta =zeta _0+zeta _1H+zeta _2left( frac{dot{H}}{H}+Hright) where, zeta _0, zeta _1 and zeta _2 are bulk viscous parameters, and H is the Hubble parameter. We investigate the impact of the bulk viscous parameter on dynamics of the universe in the recently proposed Weyl-type f(Q, T) gravity, where Q is the non-metricity, and T is the trace of the matter energy–momentum tensor. The exact solutions to the corresponding field equations are obtained with the viscous fluid and the linear model of the form f(Q, T)=alpha Q+frac{beta }{6kappa ^2}T, where alpha and beta are model parameters. Further, we constrain the model parameters using the 57 points Hubble dataset the recently released 1048 points Pantheon sample and the combination Hz + BAO + Pantheon, which shows our model is good congeniality with observations. We study the possible scenarios and the evolution of the universe through the deceleration parameter, the equation of state (EoS) parameter, the statefinder diagnostics, and the Om diagnostics. It is observed that the universe exhibits a transition from a decelerated to an accelerated phase of the universe under certain constraints of model parameters.

Highlights

  • H where, ζ0, ζ1 and ζ2 are bulk viscous parameters, and H is the Hubble parameter

  • We investigate the impact of the bulk viscous parameter on dynamics of the universe in the recently proposed Weyl-type f (Q, T ) gravity, where Q is the nonmetricity, and T is the trace of the matter energy–momentum tensor

  • We take dA(z∗)/DV (z B AO )) [60–65], where z∗ is the radiationmatter decoupling time represented by z∗ ≈ 1091, dA is the co-moving angular diameter distance given as dA =

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Summary

Introduction

The most generic affine connection can be split into three components: Christoffel symbol, contorsion tensor, and deformation tensor-relates to non-metricity. Yixin et al [25] recently investigated the f (Q, T ) theory of gravity as a, extension of symmetric teleparallel gravity or f (Q) gravity, which is based on nonminimal coupling between the non-metricity Q and trace of the matter energy–momentum tensor T. They analyzed the cosmological implication for three types of specific models in the f (Q, T ) theory. Srivastava and Singh [52] studied new holographic dark energy (HDE) model in modified f (R, T ) gravity theory within the framework of an FLRW model with bulk viscous matter content.

Cosmological model for bulk viscous matter dominated universe
Observational data analysis
Hubble data
Pantheon Supernovae data
Results
Deceleration parameter where
Density parameter
Statefinder diagnostics
Conclusions

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