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To explore how the classical exterior geometry of black holes can provide insight into the curvature properties of their interiors.

July 24, 2026Open Access

Planck-Curvature Thresholds and the Limits of Geometric Description in Regular Black Hole Interiors

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To explore how the classical exterior geometry of black holes can provide insight into the curvature properties of their interiors.
Derivation of transition radius from Schwarzschild Kretschmann scalar.
Application of mass profile to determine curvature bounds.
Computer-assisted verification of curvature profiles and energy conditions.
Curvature profile decreases away from the center, adhering to global bounds.
Stress-energy tensor satisfies null and weak conditions, with bounded violation of the strong condition.
Inner-horizon surface gravity increases with mass, reaching a finite limit at large masses.

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This theoretical work investigates curvature limits in regular black hole interiors, indicating new understanding of mass dependency.

Paruzel et al. (2026) studied this question.

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