Charged quantum Oppenheimer–Snyder model

In the framework of loop quantum cosmology, particularly within the quantum Oppenheimer–Snyder model, the semiclassical Ashtekar–Pawlowski–Singh (APS) metric is associated with a static, spherically symmetric black hole that incorporates quantum effects derived from the APS metric. This quantum-corrected black hole can be interpreted as a modified Schwarzschild black hole, where the Schwarzschild metric function is adjusted by an additional term proportional to , with $\textit{r}$ denoting the radial coordinate and $\textit{M}$, the black hole mass. In this study, we show that such a quantum-mechanically modified black hole can arise in the context of nonlinear electrodynamics with either electric or magnetic charge. This charged, quantum-corrected solution is then matched to a dust ball of constant mass , governed by the APS metric, at a timelike thin-shell possessing nonzero mass $\textit{m}$ and electric charge $\textit{Q}$ or magnetic charge $\textit{P}$. Analytically, it is demonstrated that the thin-shell oscillates around an equilibrium radius , which is expressed in terms of , $\textit{m}$, and $\textit{Q}$ or $\textit{P}$.