Observational constraints in accelerated emergent f(Q) gravity model

Abstract

In this study, the non-metricity scalar $Q$, which characterizes the gravitational interaction, is used to analyze the universe's rapid expansion within the context of the $f (Q)$ gravity theory. We suggest an emergent scale factor, which produces the deceleration parameter in redshift form which determines the solution of the field equations in the FLRW Universe. We evaluate the appropriate values of the model parameters by considering SNIa from Pantheon, CMB from Planck 2018, BAO, and 36 data points from Hubble datasets using Markov Chain Monte Carlo (MCMC) approach. The deceleration parameter's development suggests that the universe is moving from its deceleration phase into its acceleration phase. Furthermore, we analyze the statefinder $(r,s)$ diagnostic parameter. We also use some different forms of $f(Q)$ gravity models to study some other cosmological parameters, i.e., $f(Q)=\alpha_{1} Q$, $f(Q) = \alpha_{2} Q^{m}$ and $f(Q)=\alpha_{3} Q^{m}+Q$, where $\alpha_{1}$, $\alpha_{2}$, $\alpha_{3}$ and $m$ all are free model parameters. Finally, we concluded that all $f (Q)$ models predict that at $z=0$, Universe is in the phase of accelerating and behaves like the quintessence models and at $z=-1$, approaches to $\Lambda$CDM models.

Dynamics and Stability via Thin‐Shell of Approximated Black Holes in f(Q)$f(\mathbb {Q})$ Gravity

“…Despite being a relatively new idea, this theory already has multiple applications in different astrophysical and cosmological situations. [62][63][64][65][66][67][68][69][70][71] Here, many researchers explored the stability of the shell around the WH geometry in different modified theories of gravity by using different equations of stats. [72][73][74][75][76][77][78][79][80][81][82] Here, we develop a thin-shell by taking the inner flat and outer approximated uncharged, charged and ADS BHs in f (ℚ) modified theory of gravity and interested in examining the dynamical as well as stable configuration of the scalar shell.…”

“…Despite being a relatively new idea, this theory already has multiple applications in different astrophysical and cosmological situations. [ 62–71 ] Here, many researchers explored the stability of the shell around the WH geometry in different modified theories of gravity by using different equations of stats. [ 72–82 ]…”