Pair Creation of Black Holes by Domain Walls

TL;DR

This paper investigates the quantum creation of black hole pairs and Kaluza-Klein monopoles via domain walls, revealing new instanton solutions and conditions for their formation in various theoretical contexts.

Contribution

It introduces novel instanton solutions for black hole pair creation mediated by domain walls, including cases with charge, acceleration, and non-orientable solutions, expanding understanding of quantum gravitational processes.

Findings

Neutral black holes must be produced at rest with respect to each other.

Charged black holes can be accelerated away from each other after formation.

Kaluza-Klein monopole pairs are produced during compactification processes.

Abstract

In this paper we study the production of pairs of neutral and charged black holes by domain walls, finding classical solutions and calculating their classical actions. We find that neutral black holes whose creation is mediated by Euclidean instantons must be produced mutually at rest with respect to one another, but for charged black holes a new type of instanton is possible in which after formation the two black holes accelerate away from one another. These new types of instantons are not possible in Einstein-Maxwell theory with a cosmological constant. We also find that the creation of non-orientable black hole solutions can be mediated by Euclidean instantons and that in addition if one is prepared to consider entirely Lorentzian no-boundary type contributions to the path integral then mutually accelerating pairs may be created even in the neutral case. Finally we consider the production of Kaluza-Klein monopoles both by a standard cosmological term and in the presence of a domain wall. We find that compactification is accompanied by the production of pairs of Kaluza-Klein monopoles.