Towards a quantum Oppenheimer-Snyder model

TL;DR

This paper develops a quantum model of gravitational collapse using the Oppenheimer-Snyder framework, showing that quantum effects can prevent singularities through a bounce, with a consistent canonical formulation for different observers.

Contribution

It introduces a canonical formulation of the quantum Oppenheimer-Snyder model that includes both interior and exterior regions, enabling analysis from different observer perspectives.

Findings

Singularity is avoided by a quantum bounce.

Canonical formulation accommodates both comoving and stationary observers.

Preliminary quantization yields a consistent quantum gravitational collapse model.

Abstract

We present a consistent canonical formulation of the flat Oppenheimer-Snyder model, including the Schwarzschild exterior. The switching between comoving and stationary observer is realized by promoting the coordinate transformation between dust proper time and Schwarzschild-Killing time to a canonical one. This leads to two different forms of the Hamiltonian constraint, both (almost) deparameterizable with regard to one of these times. A preliminary quantization of these constraints reveals a consistent picture for both observers: the singularity is avoided by a bounce.