A black lens in bubble of nothing

TL;DR

This paper constructs a static black lens solution within a bubble of nothing using inverse scattering, exploring the equilibrium conditions between expansion and gravity.

Contribution

It introduces a novel static black lens solution with lens space topology inside a bubble of nothing, utilizing inverse scattering methods.

Findings

Constructed a non-rotating black lens with lens space topology.

Discussed conditions for equilibrium of static black lenses.

Provided insights into gravitational and expansion force balance.

Abstract

Applying the inverse scattering method to static and bi-axisymmetric Einstein equations, we construct a non-rotating black lens inside bubble of nothing whose horizon is topologically lens space L(n,1)=S^3/Z_n. Using this solution, we discuss whether a static black lens can be in equilibrium by the force balance between the expansion and gravitational attraction.