Extend the model to charged and rotating noncommutative Schwarzschild black holes with global monopoles

Extend the noncommutative Schwarzschild black-hole solutions with global monopoles beyond the neutral and non-rotating case by incorporating additional internal and external parameters.

Background

The paper analyzes neutral, non-rotating noncommutative Schwarzschild black holes with ordinary global monopoles, focusing on their Van der Waals-like thermodynamic behavior, optical shadows, compatibility with Event Horizon Telescope observations, and machine-learning-based parameter constraints. The authors explicitly identify extending this setup beyond neutrality and non-rotation as an unresolved direction.

The proposed extension would require implementing extra internal and external parameters, thereby broadening the model beyond the restricted parameter space studied in the paper.