Naked singularities in three-dimensions

TL;DR

This paper presents an analytical 2+1-dimensional solution modeling scalar field collapse that can form naked singularities, providing insights into the weak cosmic censorship conjecture in lower dimensions.

Contribution

It introduces a new exact solution describing scalar collapse in 2+1 dimensions that can produce naked singularities, relevant for cosmic censorship studies.

Findings

Solution models self-similar scalar collapse

Naked singularities can form depending on parameters

Relevance to weak cosmic censorship in 2+1D

Abstract

We study an analytical solution to the Einstein's equations in 2+1-dimensions, representing the self-similar collapse of a circularly symmetric, minimally coupled, massless, scalar field. Depending on the value of certain parameters, this solution represents the formation of naked singularities. Since our solution is asymptotically flat, these naked singularities may be relevant for the weak cosmic censorship conjecture in 2+1-dimensions.