On the Geometric Interpretation of Non-Singular Black Hole Interiors
Abstract
Black hole singularities still remain a central challenge in gravitational physics. In this work, we present a geometric interpretation of non-singular black hole cores within teleparallel gravity based on geometric drift vectors. Gravitational effects are encoded in a comoving tetrad framework through a dynamical drift field whose gradients generate torsion rather than spacetime curvature. While the teleparallel equivalent of general relativity reproduces the Schwarzschild behavior in the weak-field regime, nonlinear invariant contributions dominate in the strong-field region, replacing the central singular behavior with a smooth de Sitter–like core. Event horizons emerge as drift horizons associated with the limiting behavior of the geometric flow, and null and timelike trajectories admit analytic extensions across the horizon and central region.
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