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arXiv · 2605.08807

Matter Maps to Geometry in Gravitational Collapse

H. Khodabakhshi·Zhi-Chao Li·H. Lu·F. Shojai
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Abstract

We establish an exact bidirectional map between the effective homogeneous interior density of a collapsing star and the exterior metric function in generalized Oppenheimer--Snyder collapse. The Darmois--Israel junction conditions reduce this relation to a purely algebraic form, providing a direct way to reconstruct candidate static geometries and their surface dynamics without solving the corresponding differential field equations separately. Correction powers diagnose models: integer exponents signal ultraviolet completions, while fractional powers identify phenomenological ones. Our framework not only simplifies the construction of regular black holes but also provides a universal benchmark for testing singularity resolution and cosmic censorship in quantum gravity phenomenology.

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H. Khodabakhshi, Zhi-Chao Li, H. Lu, F. Shojai. 2026-05-09. Matter Maps to Geometry in Gravitational Collapse. https://doi.org/10.1103/m6v7-9cyg

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