Quantum system ascribed to the Oppenheimer-Snyder model of massive star

TL;DR

This paper applies integral quantization to the Oppenheimer-Snyder model, leading to a quantum description of black holes that resolves classical singularities and suggests bouncing trajectories, offering new insights into quantum gravity.

Contribution

It introduces a novel integral quantization approach to the Oppenheimer-Snyder model, resolving classical singularities and proposing bouncing quantum trajectories for black holes.

Findings

Singularities are resolved or smeared at the quantum level.

Quantum trajectories can include bounces replacing classical singularities.

The quantum black hole may have a finite bouncing time.

Abstract

We quantize the Oppenheimer-Snyder model of black hole using the integral quantization method. We treat spatial and temporal coordinates on the same footing both at classical and quantum levels. Our quantization resolves or smears the singularities of the classical curvature invariants. Quantum trajectories with bounces can replace singular classical ones. The considered quantum black hole may have finite bouncing time. As a byproduct, we obtain the resolution of the gravitational singularity of the Schwarzschild black hole at quantum level.