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Tommaso Antonelli1, Marco Sebastianutti1, Andrea Giusti2,3

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|November 3, 2025
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This study presents a quantum-corrected Reissner-Nordström geometry with an integrable singularity, improving upon previous work. The new geometry avoids spurious oscillations and is analyzed for physical observables like geodesics and quasinormal modes.

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Area of Science:

  • Theoretical physics
  • General relativity
  • Quantum gravity

Background:

  • The Reissner-Nordström geometry describes charged black holes but has a central singularity.
  • Previous models, like Casadio et al. (2022), attempted quantum corrections but faced issues with oscillations.
  • A stable, quantum-corrected geometry is needed to understand extreme astrophysical objects.

Purpose of the Study:

  • To derive a quantum-corrected Reissner-Nordström geometry with an integrable central singularity.
  • To eliminate spurious oscillations present in classical and some quantum-corrected configurations.
  • To investigate physical observables, including geodesics and quasinormal modes, within this new geometry.

Main Methods:

  • Applying quantum corrections to the Reissner-Nordström metric.
  • Mathematical analysis to ensure an integrable singularity at the center.
  • Calculating and analyzing geodesics for particle motion.
  • Investigating scalar perturbation quasinormal modes.

Main Results:

  • A novel quantum-corrected Reissner-Nordström geometry was derived.
  • The geometry features an integrable singularity, resolving the central point-like singularity issue.
  • Spurious oscillations around the classical configuration were successfully removed.
  • Analysis of geodesics and quasinormal modes provides insights into the geometry's physical properties.

Conclusions:

  • The derived quantum-corrected geometry offers a more physically realistic model for charged black holes.
  • The absence of spurious oscillations and the presence of an integrable singularity are significant improvements.
  • Further investigation of physical observables confirms the validity and potential of this new geometry.