Speaker
Description
In the following work, a new hybrid model of the
form $ f(Q) = Q(1 + a) + b\frac{Q^2}{Q_0} $
has been proposed and confronted using both early as well as late-time constraints. We
first use conditions from the era of Big Bang Nucleosynthesis
(BBN) in order to constrain the models which are further used
to study the evolution of the Universe through the deceleration parameter. This methodology is employed for the hybrid
model as well as a simple model of the form $ α_1Q + α_2Q_0 $
which is found to reduce to CDM. The error bar plot for the
Cosmic Chronometer (CC) and Pantheon+SH0ES datasets
which includes the comparison with CDM, has been studied for the constrained hybrid model. Additionally, we perform a Monte Carlo Markov Chain (MCMC) sampling of
the model against three datasets – CC, Pantheon+SH0ES,
and Baryon Acoustic Oscillations (BAO) to find the bestfit ranges of the free parameters. It is found that the constraint range of the model parameter (a) from the BBN study
has a region of overlap with the ranges obtained from the
MCMC analysis. Finally, we perform a statistical comparison between our model and the CDM model using AIC
and BIC method.
