Charged quantum Oppenheimer–Snyder model

S. Habib Mazharimousavi

doi:10.1140/epjc/s10052-025-14410-8

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 667
https://doi.org/10.1140/epjc/s10052-025-14410-8

Regular Article - Theoretical Physics

Charged quantum Oppenheimer–Snyder model

S. Habib Mazharimousavi^a

Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta, Türkiye

^a habib.mazhari@emu.edu.tr

Received: 10 February 2025
Accepted: 8 June 2025
Published online: 18 June 2025

Abstract

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 $\frac{M^{2}}{r^{4}}$ $\frac{M^{2}}{r^{4}}$ , with r denoting the radial coordinate and 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 $M_{APS}$ $M_{APS}$ , governed by the APS metric, at a timelike thin-shell possessing nonzero mass m and electric charge Q or magnetic charge P. Analytically, it is demonstrated that the thin-shell oscillates around an equilibrium radius $r = R_{eq}$ $r=R_{eq}$ , which is expressed in terms of $M_{APS}$ $M_{APS}$ , m, and Q or P.

© The Author(s) 2025

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