Properties of scalar hairy black holes and scalarons with asymmetric potential
Xiao Yan Chew, Dong-han Yeom, José Luis Blázquez-Salcedo
Abstract
This study explores the properties of black holes and scalarons in Einstein gravity when it is minimally coupled to a scalar field $\ensuremath{\phi}$ with an asymmetric potential $V(\ensuremath{\phi})$, constructed in [A. Corichi et al., Phys. Rev. D 73, 084002 (2006)] a few decades ago. $V(\ensuremath{\phi})$ 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.