Gabriel Horn Black Hole Model in Finsler Space
Abstract
The creative combination of Gabriel horn (G-horn) hyperboloid with Finsler geometry opens a new door to black holes. G-horn with finite volume but infinite surface area can characterize the frame-dragging effects of strong gravitational fields. Finsler geometry is used to describe gravitational bounce depending on velocity direction. On the smooth and inextendible manifold representing by G-horn’s inner surface, the torsion determined by Cartan connection gives rise to centrifugal force and Coriolis force to counteract gravitational collapse. The Coriolis force serves as spin-flip trigger for gravitational bounce. The entering matters are choked at a certain inner-surface zone of horn’s neck as a novel non-Penrose’s trapped surfaces with global geodesic completeness, and forms a regular “hollow” core. Without any hidden or naked singularities, the mathematical singularity and the center of matter accumulating region need not coincide. By developing Cartan torsion-decomposing method, the competition mechanism between gravity of curvature and the “centrifugal force ± Coriolis force” of torsion is a elegant solution to those existing paradoxes or hypotheses such as black hole information loss, Penrose’s cosmic censorship, Weinberg’s asymptotically safe gravity. Further, the Schwarzschild, Kerr, Reissner‑Nordström black holes may be modified uniformly as this “singularity‑free” G-horn model.
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