What question did this study set out to answer?

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

Key Points

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.

Abstract

This paper presents classical regularization of Schwarzschild black hole singularity using finite minimum radius r0. Key results: 1. Metric function: f (r) = C0² (1-r0²/r²) ² 2. Alignment conditions at r=r0: f (r0) =0, f' (r0) =0, f'' (r0) =0 3. Curvature scalar remains finite: R (r0) = -2/r0² instead of diverging at r=0 This is a toy model showing how introducing minimum length scale r0 can avoid infinite curvature in classical GR, before quantum gravity effects dominate. Note: Mathematical prediction. Experimental verification pending.

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