Boosted Black Holes on Kaluza-Klein Bubbles

TL;DR

This paper presents an exact five-dimensional solution describing two boosted black holes on a Kaluza-Klein bubble, revealing their properties and relation to four-dimensional charge and momentum.

Contribution

It introduces a new exact solution for black hole-bubble sequences with boost and momentum in five dimensions, extending previous static solutions.

Findings

The solution describes two boosted black holes on a Kaluza-Klein bubble.

The ADM mass and momentum depend on black hole velocities.

In four dimensions, the solution exhibits an electric charge proportional to linear momentum.

Abstract

We construct an exact stationary solution of black hole -- bubble sequence in the five dimensional Kaluza-Klein theory by using solitonic solution generating techniques. The solution describes two boosted black holes with topology S^3 on a Kaluza-Klein bubble and has a linear momentum component in the compactified direction. The ADM mass and the linear momentum depend on the two boosted velocity parameters of black holes. In the effective four dimensional theory, the solution has an electric charge which is proportional to the linear momentum. The solution includes the static solution found by Elvang and Horowitz and a limit of single boosted black string.