Properties of scalar hairy black holes and scalarons with asymmetric potential

Abstract

This study explores the properties of black holes and scalarons in Einstein gravity when it is minimally coupled to a scalar field 0 with an asymmetric potential V(0), constructed in [A. Corichi et al., Phys. Rev. D 73, 084002 (2006)] a few decades ago. V(0) has been applied in cosmology to describe the quantum tunneling process from the false vacuum to the true vacuum and contains a local maximum, a local minimum (false vacuum), and a global minimum (true vacuum). We focus on the asymptotically flat solutions, which can be constructed by appropriately fixing the local minimum of V. A branch of hairy black hole solutions emerges from the Schwarzschild black hole, and we study the domain of existence of such configurations. They can reach to a particlelike solution in the small horizon limit, i.e., the scalarons. We study the stability of black holes and scalarons, showing that all are unstable under radial perturbations.