A black lens in bubble of nothing

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.

14 pages, 2 figures. arXiv admin note: text overlap with arXiv:1902.10544