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arXiv · 2608.05818

Asymmetric Quantum Oppenheimer-Snyder Collapse

Michał Bobula·Tomasz Pawłowski
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Abstract

We study black hole formation resulting from the collapse of a homogeneous and isotropic dust ball within a framework built upon loop quantum cosmology. Using loop dynamics formulated for Lemaitre-Tolman-Bondi spacetimes---which reduce to the asymmetric loop quantum cosmological bounce scenario---we analyze the dust ball undergoing power-law contraction followed by a de Sitter-like expansion. We discover an emergence of a physical shock at the dust ball surface, characterized by a continuous induced metric and a discontinuous extrinsic curvature arising from a dynamical mismatch between the expanding interior and the contracting exterior vacuum shells. Furthermore, we explicitly derive two variants of Schwarzschild-like line elements for the vacuum sector, and we demonstrate that the resulting spacetime is geodesically complete featuring a rich causal structure. This establishes, for the first time, fully dynamical regular black hole formation within a framework consistent with loop quantum cosmology.

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Michał Bobula, Tomasz Pawłowski. 2026-08-06. Asymmetric Quantum Oppenheimer-Snyder Collapse. https://arxiv.org/abs/2608.05818

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