4.7 Article

Black lens in a bubble of nothing

Journal

PHYSICAL REVIEW D
Volume 106, Issue 12, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.106.124029

Keywords

-

Funding

  1. Toyota Technological Institute Fund for Research Promotion
  2. JSPS KAKENHI [JP18K13541, 21K03560]

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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.
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.

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