Negative Mass Black Holes in de-Sitter Space

TL;DR

This paper demonstrates the existence of negative mass black holes with non-constant curvature horizons in Lovelock gravity, specifically examining Gauss-Bonnet gravity, and explores various spacetime configurations based on transverse space geometry.

Contribution

It introduces the concept of negative mass black holes in de Sitter space within Lovelock gravity and provides explicit geometric conditions for their existence.

Findings

Negative mass black holes can exist in Lovelock gravity.

The geometry of the transverse space influences black hole existence.

Multiple spacetime configurations are possible for negative and massless cases.

Abstract

We show that asymptotically de Sitter black holes of negative mass can exist in Lovelock gravity. Such black holes have horizon geometries with non-constant curvature and are known as Exotic Black Holes. We explicitly examine the case of Gauss-Bonnet gravity. We briefly discuss the positive mass case where we show how the transverse space geometry affects whether a black hole will exist or not.For negative mass solutions we shown how three different black hole spacetimes are possible depending on the transverse space geometry. We also provide closed form expressions for the geometric parameters to ensure that a black hole spacetime is observed. We close with a discussion of the massless case, where there are many different spacetimes that are permitted.