Minimal Geometric Deformation in asymptotically (A-)dS space-times and the isotropic sector for a polytropic black hole

Understand

In the context of the Minimal Geometric Deformation method, in this paper we implement the inverse problem in a black hole scenario.

• In order to deal with an anisotropic polytropic black hole solution of the Einstein field equations with cosmological constant, the deformation method is slightly extended.
• After obtaining the isotropic sector and the decoupler for an anisotropic (A-)dS polytropic black hole solution, we emphasize a possible relation between anisotropization/isotropization and the violation of the energy conditions.