Isotropic extensions of the vacuum solutions in general relativity

Understand

In this work, we obtain isotropic extensions of the usual spherically symmetric vacuum geometries in general relativity.

• Exact and perturbative solutions are derived.
• The classes of geometries obtained include black holes in compact and noncompact universes, wormholes in the interior region of cosmological horizons, and anti-de Sitter geometries with excess/deficit solid angle.
• The tools developed here are applicable in more general contexts.