Weyl type $f(Q,T)$ gravity observational constrained cosmological model

Abstract

In this paper, we have studied the dynamical aspects of the cosmological model of the Universe in the Weyl type $f(Q,T)$ gravity, which is an extension of symmetric teleparallel gravity. The non-metricity scalar $Q$ has been expressed in standard Weyl form and can be determined by a vector field $w_{\mu }$ and the trace of energy momentum tensor denoted as $T$. The logarithmic form of the Hubble parametrization has been incorporated and the best fit values of the free parameters have been determined using $32CC$ sample points, $1701Pantheo{n}^{+}$ and $6BAO$ data points. The present value of the $H_0\approx 70.2\pm 4.6$, $H_0\approx 68.69_{-0.59}^{+0.67}$ and $H_0\approx 69.26_{-0.53}^{+0.57}$ respectively for $CCSample$, $CC+Pantheo{n}^{+}$ and $CC+Pantheo{n}^{+}+BAO$ datasets. With the constrained values of the free parameters, the cosmographic parameters are constrained and the present value of each parameter has been noted. The deceleration parameter for $CCSample$, $CC+Pantheo{n}^{+}$ and $CC+Pantheo{n}^{+}+BAO$ datasets provides $-0.5221$, $-0.5477$ and $-0.5691$ respectively at present time. We have considered exponential and non-linear form of the Weyl type function $f(Q,T)$ to assess the dynamical behaviour of the model. The accelerating cosmological models show the quintessence behaviour at present time as we get the present EoS parameter values obtained as $\omega \approx -0.7068$ and $\omega \approx -0.6828$ for $CCSample$, $\omega \approx -0.6991$ and $-0.6949$ for $CC+Pantheo{n}^{+}$ and $\omega \approx -0.7001$ and $-0.7084$ for $CC+Pantheo{n}^{+}+BAO$ respectively.

14 pages, 11 Figures. Accepted version: Physics of the Dark Universe

References in corpus (10)

• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Measurements of the Hubble Constant: Tensions in Perspective
• Large Scale Structure as a Probe of Gravitational Slip
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• The International Deep Planet Survey II: The frequency of directly imaged giant exoplanets with stellar mass
• The Parallax of Omega Centauri Measured from Gaia EDR3 and a Direct, Geometric Calibration of the Tip of the Red Giant Branch and the Hubble Constant
• Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity
• Model parameters in the context of late time cosmic acceleration in $f(Q,T)$ gravity
• Weyl Gravity Revisited