Quintessence Universe and cosmic acceleration in $f(Q,T)$ gravity

Abstract

The problem of cosmic acceleration and dark energy is one of the mysteries presently posed in the scientific society that general relativity has not been able to solve. In this work, we have considered alternative models to explain this late-time acceleration in a flat Friedmann-Lemaî% tre-Robertson-Walker (FLRW) Universe within the framework of the \ modified gravity theory (where $Q$ is the non-metricity and $T$ is the trace of the energy-momentum tensor) recently proposed by Xu et al. (Eur. Phys. J. C 79 (2019) 708), which is an extension of $f\left(Q\right)$ gravity with the addition of the $T$ term. Here, we presume a specific form of $f\left(Q,T\right)=\alpha Q+\beta Q^2+\gamma T$ where , $\beta$ and $\gamma$ are free model parameters, and obtained the exact solutions by assuming the cosmic time-redshift relation as $t(z)=\frac{% nt_{0}}{m}g(z)$ which produces the Hubble parameter of the form $H(z)=\frac{% mH_{0}}{m+n}\left[ \frac{1}{g(z)}+1\right] $ where $m$ and $n$ are the non-negative constants, we find the best values for them using 57 data points of the Hubble parameter $H\left(z\right)$. Also, we find the behavior of different cosmological parameters as the deceleration parameter , energy density $\left(\rho \right)$, pressure and EoS parameter $\left(\omega \right)$ and compare them with the observational results. To ensure the validity of the results, we studied the energy conditions along with jerk parameter. Finally, we find that our model behaves similarly to the quintessence Universe.

IJMPD accepted version

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• Constraining $f(Q,L_m)$ gravity with bulk viscosity
• Observational analysis of late-time acceleration in $f(Q,L_m)$ gravity
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• The dynamics of matter bounce cosmology in Weyl-type $f(Q,T)$ gravity
• Constraints on anisotropic properties of the universe in $f(Q,T)$ gravity theory
• Observational Constraints on Hybrid Scale Factor in f(Q,T) Gravity with Anisotropic Space-Time
• Modified cosmology in $f(Q,L_m)$ gravity
• Exploring cosmological evolution and constraints in $f(T)$ teleparallel gravity
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Probing Weyl-type $f(Q,T)$ gravity: Cosmological implications and constraints
• Energy conditions in $f(Q,L_m)$ gravity
• Holographic connection of f(G) gravity through Barrow and a generalized version of holographic dark fluid
• Diagnostic Approaches for Interacting generalized holographic Ricci Dark Energy Models
• Investigating the compatibility of exact solutions in Weyl-type $f(Q,T)$ gravity with observational data