Statistical and Observation Comparison of Weyl-Type $f(Q,T)$ Models with the $\Lambda$CDM Paradigm

Abstract

We study the $f(Q,T)$ gravity in the framework of Weyl geometry (known as Weyl-type $f(Q,T)$ gravity), where $Q$ denotes the non-metricity scalar, and $T$ denotes the energy-momentum tensor trace. In this work, we consider the $f(Q,T)$ model, which is defined as $f(Q,T)=\alpha Q^{m+1}+\frac{\beta }{6{\kappa }^2}T$ and investigating two scenarios: $(I)$ $m=0$ (linear model) and $(II)$ $m\ne 0$ (nonlinear model). For both scenarios, we find the explicit solution for the field equations by using the barotropic equation of state as $p=w\rho$, where $w$ is the equation-of-state (EoS) parameter. Further, we study the obtained solutions statistically using the $Pantheo{n}^{+}$ (Without SHOES Calibrated) dataset with 1701 data points. For both models, the best-fit values of model parameters for $1-\sigma$ and $2-\sigma$ confidence level. The higher Hubble constant values in both models emphasize the presence of Tension. We statistically compare our models to the $\Lambda$CDM model using ${{\protectχ}^2_{min}}$, ${{\protectχ}^2_{red}}$, $AIC$, $\Delta AIC$, $BIC$ and $\Delta BIC$. We also examine cosmological parameters such as deceleration and EoS parameters to determine the current acceleration expansion of the Universe. Furthermore, we test our model using $Om$ diagnostic and compare it to the $\Lambda$CDM model to determine its dark energy profile. Finally, we draw the conclusion that statistically speaking, both linear and nonlinear models show good compatibility with the $\Lambda$CDM model.

14 pages, 6 figures

References in corpus (30)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• The Pantheon+ Analysis: Cosmological Constraints
• Disappearing cosmological constant in f(R) gravity
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Two new diagnostics of dark energy
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• $f(T,\mathcal{T})$ gravity and cosmology
• Correcting Type Ia Supernova Distances for Selection Biases and Contamination in Photometrically Identified Samples
• Signatures of $f(Q)$-gravity in cosmology
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Observational constraints on cosmological solutions of $f(Q)$ theories
• $f(Q,T)$ gravity models with observational constraints
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Cosmological Perturbation Theory in $f(Q,T)$ Gravity
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Energy conditions in $f(Q,T)$ gravity
• Static spherically symmetric wormholes in $f(Q,T)$ gravity
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• Constraining effective equation of state in $f(Q,T)$ gravity
• Power-law cosmology in Weyl-type $f(Q,T)$ gravity
• Reconstruction of $f(Q,T)$ Lagrangian for various cosmological scenario
• Generalized Chaplygin gas and accelerating universe in $f(Q,T)$ gravity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• Gaussian Process Approach for Model-Independent Reconstruction of $f(Q)$ Gravity with Direct Hubble Measurements
• Interaction of divergence-free deceleration parameter in Weyl-type $f(Q,T)$ gravity
• $f(Q,T)$ gravity, its covariant formulation, energy conservation and phase-space analysis
• Dark energy constraint on equation of state parameter in the Weyl type $f(Q,T)$ gravity

Cited by in corpus (1)

• Modified gravity from Weyl connection and the $f(R,\mathcal{A})$ extension