Transit cosmological models with observational constraints in f(Q, T) gravity

Abstract

This cosmological model is a study of modified $f(Q,T)$ theory of gravity which was recently proposed by Xu {\it et al.} (Eur. Phys. J. C {\bf 79}, 708 (2019)). In this theory of gravity, the action contains an arbitrary function $f(Q,T)$ where $Q$ is non-metricity and $T$ is the trace of energy-momentum tensor for matter fluid. In our research, we have taken the function $f(Q,T)$ quadratic in $Q$ and linear in $T$ as $f(Q,T)=\alpha Q+\beta Q^2+\gamma T$ where $\alpha$, $\beta$ and $\gamma$ are model parameters, motivated by $f(R,T)$ gravity. We have obtained the various cosmological parameters in Friedmann-Lemaitre-Robertson-walker (FLRW) Universe viz. Hubble parameter $H$, deceleration parameter $q$ etc. in terms of scale-factor as well as in terms of redshift $z$ by constraining energy-conservation law. For observational constraints on the model, we have obtained the best-fit values of model parameters using the available data sets like Hubble data sets $H(z)$, Joint Light Curve Analysis (JLA) data sets and union $2.1$ compilation of SNe Ia data sets by applying $R^2$-test formula. We have calculated the present values of various observational parameters viz. $H_0$, $q_0$, $t_0$ and statefinder parameters $(s,r)$, these values are very close to the standard cosmological models. Also, we have observed that the deceleration parameter $q(z)$ shows signature-flipping (transition) point within the range $0.423\le z_t\le 0.668$ through which it changes its phase from decelerated to accelerated expanding universe with equation of state (EoS) $-1.071\le \omega -0.96$ for $0\le z\le 3$.

17 pages, 12 figures, 4 tables

References in corpus (18)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Modified teleparallel gravity: inflation without inflaton
• Towards an automated tool to evaluate the impact of the nuclear modification of the gluon density on quarkonium, D and B meson production in proton-nucleus collisions
• Energy Conditions in $f(\mathcal{G},T)$ Gravity
• FRW Cosmology in F(R,T) gravity
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Cosmological Solutions of $f(T)$ Gravity
• Energy Conditions in Modified $f(G)$ Gravity
• $f(Q,T)$ gravity models with observational constraints
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Probing Dark Energy Anisotropy
• Gauge Structure of Teleparallel Gravity
• The Cauchy problem for metric-affine f(R)-gravity in presence of a Klein-Gordon scalar field
• On $f(R)$ gravity in scalar-tensor theories

Cited by in corpus (11)

• General covariant symmetric teleparallel cosmology
• Cosmological Perturbation Theory in $f(Q,T)$ Gravity
• Cosmological Inflation in f(Q, T) Gravity
• Static spherically symmetric wormholes in $f(Q,T)$ gravity
• Evolutionary behaviour of cosmological parameters with dynamical system analysis in f (Q, T) gravity
• An Axially Symmetric Transitioning models with Observational Constraints
• Quintessence Universe and cosmic acceleration in $f(Q,T)$ gravity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• Observational Constraints on Hybrid Scale Factor in f(Q,T) Gravity with Anisotropic Space-Time
• Bianchi type-V Transitioning model in Brans-Dicke theory with Observational Constraint
• Inflation and primordial fluctuations in $f(Q,T)$ gravity