Matter maps to geometry in gravitational collapse
Phys. Rev. D 114, 024075 – Published 27 July, 2026
DOI: https://doi.org/10.1103/m6v7-9cyg
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.
