English

Quantum potential in dust collapse with a negative cosmological constant

General Relativity and Quantum Cosmology 2021-06-15 v2 High Energy Physics - Theory Quantum Physics

Abstract

In the functional Schrodinger formalism, we obtain the wave function describing collapsing dust in an anti-de Sitter background, as seen by a co-moving observer, by mapping the resulting variable mass Schrodinger equation to that of the quantum isotonic oscillator. Using this wave function, we perform a causal de Broglie-Bohm analysis, and obtain the corresponding quantum potential. We construct a bouncing geometry via a disformal transformation, incorporating quantum effects. We derive the external solution that matches with this smoothly, and is also quantum corrected. Due to a pressure term originating from the quantum potential, an initially collapsing solution with a negative cosmological constant bounces back after reaching a minimum radius, and thereby avoids the classical singularity predicted by general relativity.

Keywords

Cite

@article{arxiv.2007.10971,
  title  = {Quantum potential in dust collapse with a negative cosmological constant},
  author = {Sandip Chowdhury and Kunal Pal and Kuntal Pal and Tapobrata Sarkar},
  journal= {arXiv preprint arXiv:2007.10971},
  year   = {2021}
}

Comments

18 pages, Matches published version

R2 v1 2026-06-23T17:17:35.043Z