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In the framework of [Formula: see text] gravity, we examine the nature of cosmological parameters by choosing different models of [Formula: see text] gravity at past, present as well as future epoch for Hubble parameter from parameterized deceleration parameters. It is found that equation of state parameter leads to quintessence behavior and its ra...
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... But, as it turned out, we could solve the aforementioned problems by presenting the proper transformation of the Einstein-Hilbert (EH) action and using new geometrodynamical terms, such as Gauss-Bonnet term, cubic non-topological invariant etc. Approach of EH action integral modification was lately named as a modified theory of gravity. There exist a large amount of modified gravity theories beyond GR -such as f () gravity (Buchdahl 1970;Capozziello & De Laurentis 2011;Nojiri & Odintsov 2003), f (, ) gravity (Arora et al. 2020a;Harko et al. 2011;Moraes & Sahoo 2017;Yousaf et al. 2018), f (, ) gravity (Atazadeh & Darabi 2014;De Laurentis et al. 2015), teleparallel f (T) gravity (Bengochea & Ferraro 2009;Ferraro & Fiorini 2007Linder 2010), cubic invariant dependent f (P) gravity (Erices et al. 2019;Saleem et al. 2021;Sardar & Debnath, 2021), symmetric teleparallel f () gravity (Barros et al. 2020;Dialektopoulos et al. 2019;Jiménez et al. 2020) etc. ...
In the General Theory of Relativity (GR) gravitational interactions are described by the scalar Ricci curvature. But there exists another class of modified gravity theories equivalent to GR, described by the torsion tensor or non‐metricity scalar. One of such theories, investigated in this paper is f(Q,T) gravity, built from the arbitrary function of non‐metricity scalar non‐minimally coupled to the trace of stress‐energy tensor. Current work is aimed on the linear f(Q,T)=αQ+βT gravity, where α and β are free MOG parameters to be varied. As well, we assume that the fluid is bulk‐viscous with pressure p‾=p−3ζH and the bulk viscosity parameter ζ=ζ0+ζ1H+ζ2(H˙/H+H). From the modified Einstein Field Equations (EFE's) we obtain the Hubble parameter analytically and constrain free parameters of the model through the MCMC sampling of 57 recent Hubble parameter observations. We found that computed Hubble rate for our model from MCMC sampling converges with the observational data at the ±1σ confidence level. To examine the current accelerated expansion rate of the universe in details we use the statefinder diagnostics. Besides, to distinguish ΛCDM and our model we use Om(z) analysis.
