Dynamics near the central singularity in spherical collapse

TL;DR

This paper investigates the behavior of spacetime and matter fields near the central singularity during spherical collapse, revealing universal features and fine structures in the solutions as a black hole forms.

Contribution

It provides new analytic insights into the dynamics near singularities in scalar field collapse, highlighting universal behaviors and detailed solution structures.

Findings

Identification of simplified equations in early and late stages

Discovery of fine structures in analytic solutions

Universal features in metric functions and matter near singularity

Abstract

We study the dynamics near the central singularity in spherically symmetric collapse of a massless scalar field toward Schwarzschild black hole formation. The equations of motion take different simplified forms in the early and late stages of the singularity curve. We report some fine structures of the analytic solutions and universal features for the metric functions and matter near the singularity.