Gentle spaghettification in effective LQG dust collapse

TL;DR

This paper investigates the behavior of dust collapse in loop quantum gravity, revealing that deviations between particles remain finite at singularities, supporting the extension of spacetime beyond these points.

Contribution

It provides a detailed analysis of the effective spacetime near singularities in LQG-inspired dust collapse, showing finite deviations and justifying spacetime extension.

Findings

Deviations between dust particles remain finite at singularities.

Spacetime can be extended beyond shell-crossing singularities.

Supports weak solutions for singularity extension.

Abstract

Effective dust collapse inspired by loop quantum gravity predicts two main features for general realistic initial profiles: a quantum gravitational bounce of the stellar core, when the energy density becomes planckian, and shell-crossing singularities, arising within almost a planckian time after the bounce. The aim of this work is to study the mathematical and physical features of the effective spacetime near these singularities, through the Jacobi deviation equation. The results show that the radial and angular deviations between dust particles remain finite at both the bounce and shell-crossing singularity, providing a physical justification for extending the spacetime beyond shell-crossing singularities through weak solutions.