Differential configurational entropy and the gravitational collapse of a kink

TL;DR

This paper investigates how differential configurational entropy (DCE) can predict gravitational collapse and black hole formation in kink solutions of scalar fields, revealing critical thresholds and supporting collapse scenarios.

Contribution

It introduces the use of DCE to analyze gravitational instability and black hole formation in kink solutions, identifying critical parameters and extending understanding of non-equilibrium collapse.

Findings

DCE determines a critical perturbation value for phase transition leading to collapse.

Supercritical perturbations in static kinks result in black hole formation.

DCE supports black hole formation in far-from-equilibrium kink solutions.

Abstract

The gravitational instability of kinks is scrutinized in the context of information entropy, including the black hole formation near the scalar field critical collapse. The differential configurational entropy (DCE) is computed and examined for globally perturbed static kinks and the far-from-equilibrium kink solutions as well. In the case of the first kink, the DCE determines a critical value of the perturbation parameter regulating points of bifurcation that characterize a phase transition, whose supercritical range leads to collapse and subsequent black hole formation. For the far-from-equilibrium kink solutions, the DCE supports black hole formation.