English

Quantum Oppenheimer-Snyder model

General Relativity and Quantum Cosmology 2020-08-10 v2 High Energy Physics - Theory

Abstract

We construct two reduced quantum theories for the Oppenheimer-Snyder model, respectively taking the point of view of the comoving and the exterior stationary observer, using affine coherent states quantization. Investigations of the quantum corrected dynamics reveal that both observers can see a bounce, although for the exterior observer certain quantization ambiguities have to be chosen correctly. The minimal radius for this bounce as seen from the stationary observer is then shown to always be outside of the photon sphere. Possible avenues to lower this minimal radius and reclaim black holes as an intermediate state in the collapse are discussed. We demonstrate further that switching between the observers at the level of the quantum theories can be achieved by modifying the commutation relations.

Keywords

Cite

@article{arxiv.2004.02939,
  title  = {Quantum Oppenheimer-Snyder model},
  author = {Włodzimierz Piechocki and Tim Schmitz},
  journal= {arXiv preprint arXiv:2004.02939},
  year   = {2020}
}

Comments

20 pages, 11 figures; v2: matches the published version

R2 v1 2026-06-23T14:41:45.214Z