Physical aspects of naked singularity explosion - How does a naked singularity explode? --

TL;DR

This study analyzes quantum stress tensor behavior during spherical dust collapse, finding that quantum radiation does not significantly affect naked singularity formation, and emphasizing the need for quantum gravity to predict explosion outcomes.

Contribution

It provides an exact 2D model analysis showing quantum radiation's limited back reaction impact on naked singularity development.

Findings

Quantum flux diverges at the naked singularity

Back reaction remains insignificant during semiclassical phase

Diverging flux is balanced along the Cauchy horizon

Abstract

The behaviors of quantum stress tensor for the scalar field on the classical background of spherical dust collapse is studied. In the previous works diverging flux of quantum radiation was predicted. We use the exact expressions in a 2D model formulated by Barve et al. Our present results show that the back reaction does not become important during the semiclassical phase. The appearance of the naked singularity would not be affected by this quantum field radiation. To predict whether the naked singularity explosion occurs or not we need the theory of quantum gravity. We depict the generation of the diverging flux inside the collapsing star. The quantum energy is gathered around the center positively. This would be converted to the diverging flux along the Cauchy horizon. The ingoing negative flux crosses the Cauchy horizon. The intensity of it is divergent only at the central naked singularity. This diverging negative ingoing flux is balanced with the outgoing positive diverging flux which propagates along the Cauchy horizon. After the replacement of the naked singularity to the practical high density region the instantaneous diverging radiation would change to more milder one with finite duration.