Phys.Rev.D, 114, 2, 024075 (2026)
Matter maps to geometry in gravitational collapse
H. Khodabakhshi1, Zhi-Chao Li1, H. Lu1,2 and F. Shojai3
1 The International Joint Institute of Tianjin University, Fuzhou, Tianjin University, Tianjin 300072, China.
2 Joint School of National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou 350207, China.
3 Department of Physics, University of Tehran, P.O. Box 14395-547, Tehran, Iran.
* lizc@tju.edu.cn, mrhonglu@gmail.com, fshojai@ut.ac.ir
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 col lapse. 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 regu lar black holes but also provides a universal benchmark for testing singularity resolution and cosmic censorship in quantum gravity phenomenology
