2D Naked Singularity in General Relativity

TL;DR

This paper introduces a simple 2D model of a naked singularity in general relativity, serving as a mathematical tool to better understand the properties of such singularities without horizons.

Contribution

It provides a novel, mathematically motivated 2D naked singularity solution as a toy model for studying properties of naked singularities.

Findings

Demonstrates a 2D space-time with a gravity singularity and no horizon

Offers a simple example to explore naked singularity properties

Serves as a mathematical tool for theoretical understanding

Abstract

We present a novel example of a 2-dimensional space-time naked singularity. The solution has a gravity singularity and no-horizon. This example is only a toy model and as such its motivation is mathematical. In the physical sense it is very helpful to understand in simple terms what naked singularities are and the properties they may have.