Black lens in a bubble of nothing

Applying the inverse scattering method to static and biaxisymmetric Einstein equations, we construct a nonrotating black lens inside a bubble of nothing whose horizon is topologically lens space, L(n, 1) = S3/7Ln. Using this solution, we discuss whether a static black lens can be in equilibrium by the force balance between the expansion and gravitational attraction.

Automated summary

In this study, the inverse scattering method is applied to the static and biaxisymmetric Einstein equations to construct a nonrotating black lens inside a bubble of nothing. The horizon of this lens is topologically a lens space, L(n, 1) = S3/7Ln. The equilibrium of a static black lens is then discussed based on the force balance between expansion and gravitational attraction.