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This paper aims to present a model of black holes that avoids singularities by introducing a minimum radius.

June 14, 2026Open Access

Regular Black Hole Solutions with Minimum Radius r0: Finite Curvature and Singularity Avoidance

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This paper aims to present a model of black holes that avoids singularities by introducing a minimum radius.
Developed a regularization of the Schwarzschild black hole singularity using a minimum radius r0.
Derived the metric function and alignment conditions for black hole solutions.
Analyzed curvature scalar behavior at the radius r0.
Metric function defined as f(r) = C0^2(1-r0^2/r^2)^2.
At r=r0, alignment conditions satisfied (f(r0)=0, f'(r0)=0, f''(r0)=0).
Curvature scalar R(r0) remains finite with R(r0) = -2/r0^2, avoiding divergence.

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This theoretical model explores finite curvature and singularity avoidance in black holes, suggesting new insights for gravity theories.

Akijul Islam (2026) studied this question.

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