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This work aims to provide a classical regularization of Schwarzschild black hole singularity by defining a minimum radius.

June 15, 2026Open Access

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

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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.

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This theoretical formulation presents regular black holes with finite minimum radius, suggesting new insights into black hole singularities.

Akijul Islam (2026) studied this question.

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This theoretical formulation presents regular black holes with finite minimum radius, suggesting new insights into black hole singularities.