Singularity avoidance in quantum-inspired inhomogeneous dust collapse

TL;DR

This paper extends quantum-inspired gravitational collapse models to inhomogeneous dust, showing that quantum effects replace singularities with bounces and significantly influence the collapse's structure.

Contribution

It introduces a quantum-inspired inhomogeneous collapse model, revealing how inhomogeneities affect bounce behavior and trapped regions, advancing understanding of singularity avoidance.

Findings

Central singularity replaced by a bounce in inhomogeneous collapse

Inhomogeneities influence the structure of the bounce curve

Quantum effects modify trapped region formation

Abstract

In a previous paper, some of us studied general relativistic homogeneous gravitational collapses for dust and radiation, in which the density profile was replaced by an effective density justified by some quantum gravity models. It was found that the effective density introduces an effective pressure that becomes negative and dominant in the strong-field regime. With this set-up, the central singularity is replaced by a bounce, after which the cloud starts expanding. Motivated by the fact that in the classical case homogeneous and inhomogeneous collapse models have different properties, here we extend our previous work to the inhomogeneous case. As in the quantum-inspired homogeneous collapse model, the classical central singularity is replaced by a bounce, but the inhomogeneities strongly affect the structure of the bounce curve and of the trapped region.