Matter Maps to Geometry in Gravitational Collapse

2026/05/31 by H. Khodabakhshi, Zhi-Chao Li, H. Lü +3
Physics and Astronomy · #gr-qc

paper · pdf · doi: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.

Citations

• Covariant dynamics from static spherically symmetric geometries
• Gravitational Collapse: Generalizing Oppenheimer-Snyder and a Conjecture on Horizon Formation Time
• A Hybrid Tower-Scalar Model for Regular Black Holes: Neutrino-Sourced Cores and High-Frequency Resonant Signatures
• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
• On Continued Gravitational Contraction
• “Golden Oldie”: Gravitational Collapse: The Role of General Relativity

Related

• Gravitational Collapse: Generalizing Oppenheimer-Snyder and a Conjecture on Horizon Formation Time
• A resolution of spacetime singularity and black hole paradoxes through avoidance of trapped surface formation in Einstein gravity
• Critical Phenomena in Gravitational Collapse
• Aspects of Gravitational Collapse and the formation of Spacetime Singularities
• Globally Causal Solutions for Gravitational Collapse