An FLRW accelerating universe model in Weyl type $f(Q)$ gravity and Observational Constraints

Understand

We propose to develop a cosmological model of the universe based on Weyl type $ f(Q) $ gravity which shows the transition from decelerating in the past to acceleration at present by considering a particular functional form of $ f(Q) $ gravity as $ f(Q) = ({H_0}^2) (\alpha_1 + \alpha_2 \hskip0.05in log ({H_0^{-2}} Q)) $.

• We have solved Weyl type $ f(Q) $ gravity field equations numerically and have obtained numerical solutions to the Hubble and deceleration parameters, distance modulus, and apparent magnitudes of stellar objects like SNIa Supernovae.
• We have also obtained numerical solutions for the Weyl vector $ w $, non-metricity scalar $ Q $, and the Lagrangian multiplier $ \lambda $ appearing in the action of $ f(Q) $ gravity.
• We have compared our theoretical solutions with the error bar plots of the Observed Hubble data set of $ 77 $ points, $ 580 $ distance modulus SNIa data set, and $ 1048 $ supernova Pantheon data sets of apparent magnitudes.