Five-dimensional scale-dependent black holes with constant curvature and Solv horizons

In this work, we investigate five--dimensional scale--dependent black hole solutions by modelling their event horizon with some of the eight Thurston three--dimensional geometries. Specifically, we construct constant curvature scale--dependent black holes and also the more exotic scale--dependent Solv black hole. These new solutions are obtained by promoting both the gravitational and the cosmological couplings to $r$--dependent functions, in light of a particular description of the effective action inspired by the high energy philosophy.