Pair creation of black holes joined by cosmic strings

TL;DR

This paper investigates the pair creation of charged black holes connected by cosmic strings in a magnetic field, showing the process is suppressed relative to black hole formation without strings.

Contribution

It introduces a method to analyze black hole pair creation with cosmic strings using the Ernst metric and estimates the production rate considering the string's influence.

Findings

Cosmic strings oppose black hole attraction in pair creation.

The production rate is lower with cosmic strings than without.

The process can be modeled using the Ernst metric.

Abstract

We argue that production of charged black hole pairs joined by a cosmic string in the presence of a magnetic field can be analyzed using the Ernst metric. The effect of the cosmic string is to pull the black holes towards each other, opposing to the background field. An estimation of the production rate using the Euclidean action shows that the process is suppressed as compared to the formation of black holes without strings.