Global models of collapsing scalar field: endstate

TL;DR

This paper investigates the conditions under which scalar field collapse leads to singularities or horizons, analyzing stability and genericity in various models within general relativity.

Contribution

It provides a comprehensive analysis of scalar field collapse models, focusing on conditions for singularity and horizon formation, and discusses the stability and genericity of these phenomena.

Findings

Open topologies influence singularity formation

Stability of initial data affects naked singularity development

Results apply to a broad family of scalar field models

Abstract

The study of dynamic singularity formation in spacetime, focusing on scalar field collapse models, is analysed. We revisit key findings regarding open spatial topologies, concentrating on minimal conditions necessary for singularity and apparent horizon formation. Moreover, we examine the stability of initial data in the dynamical system governed by Einstein's equations, considering variations in parameters that influence naked singularity formation. We illustrate how these results apply to a family of scalar field models, concluding with a discussion on the concept of genericity in singularity studies.