Singularity free gravitational collapse in an effective dynamical quantum spacetime

TL;DR

This paper models quantum-corrected gravitational collapse, showing that collapsing shells reach a minimum radius without forming singularities, and then rebound with mass loss due to Hawking radiation, avoiding classical singularities.

Contribution

It introduces a model of gravitational collapse incorporating quantum Einstein Gravity corrections and dynamical Hawking radiation, demonstrating singularity avoidance.

Findings

Shell reaches a minimum non-zero radius

Mass is slightly reduced during collapse

Collapse results in rebound and evaporation without singularity

Abstract

We model the gravitational collapse of heavy massive shells including its main quantum corrections. Among these corrections, quantum improvements coming from Quantum Einstein Gravity are taken into account, which provides us with an effective quantum spacetime. Likewise, we consider dynamical Hawking radiation by modeling its back-reaction once the horizons have been generated. Our results point towards a picture of gravitational collapse in which the collapsing shell reaches a minimum non-zero radius (whose value depends on the shell initial conditions) with its mass only slightly reduced. Then, there is always a rebound after which most (or all) of the mass evaporates in the form of Hawking radiation. Since the mass never concentrates in a single point, no singularity appears.