On the stability of scale-invariant black holes

Understand

Quadratic scale-invariant gravity non minimally coupled to a scalar field provides a competitive model for inflation, characterized by the transition from an unstable to a stable fixed point, both characterized by constant scalar field configurations.

• We provide a complementary analysis of the same model in the static, spherically symmetric setting, obtaining two Schwarzschild-de Sitter solutions, which corresponds to the two fixed points existing in the cosmological scenario.
• The stability of such solutions is thoroughly investigated from two different perspectives.
• First, we study the system at the classical level by the analysis of linear perturbations.