Quantum system ascribed to the Oppenheimer–Snyder model of massive stars

Abstract

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