Kerr Black Holes in an Expanding Bubble

TL;DR

This paper presents an exact analytical solution in general relativity for multiple Kerr black holes inside an expanding bubble, analyzing their physical properties and thermodynamics without cosmic strings or struts, revealing equilibrium configurations.

Contribution

It introduces a novel exact solution for Kerr black holes in an expanding bubble, expanding understanding of black hole interactions in dynamic cosmological backgrounds.

Findings

Single Kerr black hole thermodynamics studied

Binary system exhibits equilibrium configurations

No cosmic strings or struts are present

Abstract

An exact and analytical solution, in four-dimensional general relativity, describing a collinear array of an arbitrary number of Kerr black holes inside an expanding bubble of nothing is built, thanks to the inverse scattering technique. Physical properties and thermodynamics of the single Kerr in the bubble are studied. No cosmic strings or struts are present. The binary black hole system displays equilibrium configurations, because the expanding bubble surrounding the black holes balances the mutual gravitational attraction of the two constituents.