Black Holes with Zero Mass

TL;DR

This paper investigates the properties of black holes with zero ADM mass in the context of static global monopole spacetimes, revealing a transition from negative to positive mass as the horizon radius varies.

Contribution

It introduces the concept of black holes with zero ADM mass in global monopole spacetimes and analyzes the mass behavior across different horizon sizes.

Findings

For small horizon radius, the ADM mass is negative.

At large horizon radius, the ADM mass becomes positive.

An intermediate horizon size exists where the black hole has zero ADM mass.

Abstract

We consider the spacetimes corresponding to static Global Monopoles with interior boundaries corresponding to a Black Hole Horizon and analyze the behavior of the appropriate ADM mass as a function of the horizon radius r_H. We find that for small enough r_H, this mass is negative as in the case of the regular global monopoles, but that for large enough r_H the mass becomes positive encountering an intermediate value for which we have a Black Hole with zero ADM mass.