The models of transit cosmology along with observational constriction in f(Q,T) gravity

Abstract

Xu et al. (Eur. Phys. J. C 79 (2019) 708) have anticipated the theory of Gravity. The modified study of [Formula: see text] is elucidated here as Cosmological model. In it the action holds a role as a capricious arbitrary function [Formula: see text]. At this juncture [Formula: see text] functions as non-metricity and for matter fluid, [Formula: see text] outlines as energy-momentum tensor. The function [Formula: see text] quadratic in [Formula: see text] and linear in [Formula: see text] as [Formula: see text] has been taken as our research in which [Formula: see text], [Formula: see text] and [Formula: see text] stand as model parameters, induced by [Formula: see text] gravity. A range of cosmological parameters have been attained by us such as in Universe viz. Hubble parameter [Formula: see text], Friedmann–Lemaitre–Robertson–Walker (FLRW), deceleration parameter [Formula: see text], etc. in terms of scale-factor and in terms of redshift [Formula: see text] by confining to the law of energy-conservation. The fittest values of the model parameters have been acquired by us as the observational constrictions on the model, by utilizing the accessible data sets like Hubble data sets [Formula: see text], union 2.1 compilation of SNe Ia data sets and Joint Light Curve Analysis (JLA) data sets. We have applied [Formula: see text]-test formula. The values of various observational parameters have been premeditated by us viz. [Formula: see text], [Formula: see text], [Formula: see text] and state finder parameters [Formula: see text]. They are absolutely very close to the standard cosmological models. It has also been observed by us that the deceleration parameter [Formula: see text] exhibits signature-flipping (transition) point within the range [Formula: see text]. It is observed that it changes its phase from decelerated to accelerated expanding universe with equation of state (EoS) [Formula: see text] for [Formula: see text].

Cosmological Inflation in f(Q, T) Gravity

“…Also, Table IV shows the inflationary observables for different values of l, α and β. The results indicate that, for some ranges of free parameters within the context of the linear functional form of the f (Q, T ) gravity with the natural potential, the inflationary observables are in good agreement with the latest observational data obtained from the Planck satellite, i.e., data (57).…”

“…This theory is in fact an extension of the symmetric teleparallel gravity, f (Q) gravity [53,54]. Till now, some cosmological aspects of f (Q, T ) gravity have been studied, e.g., cosmological implications of its Weyl type gravity [55], Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology in it [56], and transit cosmological models of f (Q, T ) gravity [57].…”

Cosmological constraints on bulk viscous f(Q,T) gravity

“…As well, energy conditions were probed in the work of (Arora & Sahoo 2020). Finally, the transit f (,  ) cosmology were investigated i n (Pradhan & Dixit 2021), effective equation of state constrained in (Arora et al 2021b) and behavior of f (,  ) under the perturbed background in (Nájera & Fajardo 2021).…”

An Axially Symmetric Transitioning models with Observational Constraints

“…In some modified theories of gravity accelerated expansion of the universe has been explained without applying the DE component in a different way of thinking. A variety of gravity theories such as f(R) [42,43,44], f(T) [45], and f(G) [46], f(Q,T) [47,48], f(Q) [49,50,51], f(R,G) [52], f(T,B) gravity [53], and Einstein-Gauss-Bonnet theory [54,55,56,57,58,59] were proposed. In the same direction, Harko et al [60] developed f(R,T)gravity theory.…”