English

Quantum theory of the Lemaitre model for gravitational collapse

General Relativity and Quantum Cosmology 2025-01-29 v1 High Energy Physics - Theory

Abstract

We investigate the quantum fate of the classical singularities that occur by gravitational collapse of a dust cloud. For this purpose, we address the quantization of a model first proposed by Georges Lemaitre in 1933. We find that the singularities can generically be avoided. This is a consequence of unitary evolution in the quantum theory, whereby the quantum dust cloud collapses, bounces at a minimal radius and re-expands.

Keywords

Cite

@article{arxiv.2412.12947,
  title  = {Quantum theory of the Lemaitre model for gravitational collapse},
  author = {Claus Kiefer and Hamid Mohaddes},
  journal= {arXiv preprint arXiv:2412.12947},
  year   = {2025}
}

Comments

9 pages, 3 figures, invited contribution for the conference Lemaitre 2024