Akizul's S (r) Theory: Regular Black Holes with Minimum Radius rₘin

Key Points

• This work aims to provide a classical regularization of Schwarzschild black hole singularity by defining a minimum radius.
• Developed the metric function as f(r) = C0^2 * (1 - r_min^2 / r^2)^2.
• Established alignment conditions at r=r_min: f(r_min)=0, f'(r_min)=0, f''(r_min)=0.
• Analyzed the behavior of the curvature scalar at the minimum radius.
• The metric function effectively regularizes the black hole singularity.
• Alignment conditions confirm the stability of the structure at r_min.
• Curvature scalar at the minimum radius remains finite: R(r_min) = -2/r_min^2.