Parameterized Deceleration in $f(Q,C)$ Gravity: A Logarithmic Approach

TL;DR

This paper introduces a logarithmic parameterization of the deceleration parameter in $f(Q,C)$ gravity, constraining model parameters with observational data, and demonstrating a transition from deceleration to acceleration consistent with cosmic observations.

Contribution

It presents a novel logarithmic approach to parameterizing deceleration in $f(Q,C)$ gravity and constrains it using observational data, providing insights into cosmic acceleration without exotic fields.

Findings

Transition redshift around 0.98 (OHD) and 0.76 (Pantheon+SH0ES)

Model aligns with observational data

Offers a viable alternative explanation for cosmic acceleration

Abstract

This study explores a distinctive logarithmic parameterization of the deceleration parameter within the $f(Q, C)$ gravity framework, incorporating a nonlinear functional form $f(Q, C) = \gamma_1 Q^n + \gamma_2 C$, where $Q$ and $C$ denote the nonmetricity scalar and boundary term, respectively, and $n \geq 1$. This approach provides a unique perspective on the universe's accelerated expansion without resorting to exotic fields. Using observational data from Hubble measurements (OHD) and the Pantheon+SH0ES Type Ia supernovae dataset, the model parameters were constrained through a $\chi^2$ minimization technique. The analysis reveals a transition from deceleration to acceleration in the expansion history of the universe, with the transition redshifts $z_t \approx 0.98$ (OHD) and $z_t \approx 0.76$ (Pantheon+SH0ES). The model demonstrates consistency with observations, offering insights into the dynamics of dark energy and alternative gravity theories, while effectively modeling cosmic evolution across epochs.