English

Asymmetric Quantum Oppenheimer-Snyder Collapse

General Relativity and Quantum Cosmology 2026-08-06 v1 High Energy Physics - Theory

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.

Cite

@article{arxiv.2608.05818,
  title  = {Asymmetric Quantum Oppenheimer-Snyder Collapse},
  author = {Michał Bobula and Tomasz Pawłowski},
  journal= {arXiv preprint arXiv:2608.05818},
  year   = {2026}
}

Comments

20 pages, 7 figures