Cosmological observational constraints on the power law $f(Q)$ type modified gravity theory

Understand

In modern cosmology, the curiosity of ultimately understanding the nature of the dark energy controlling the recent acceleration of the Universe motivates us to explore its properties by using some novel approaches.

• In this work, to explore the properties of dark energy we adopt the modified $f(Q)$ gravity theory, where the non-metricity scalar $Q$, emerging from Weyl geometry, plays the dynamical role.
• For the function $f(Q)$ we adopt the functional form $f(Q)=Q+ 6\gamma\,H_0^2(Q/Q_0)^n$, where $n,\, \gamma,\, H_0$ and $Q_0$ are constants.
• Then, we test our constructed model against the various observational datasets, such as the Hubble, and the Pantheon+SHOES samples, and their combined sample, through the Markov Chain Monte Carlo (MCMC) statistical analysis.