Properties of scalar hairy black holes and scalarons with asymmetric potential

Oct 3, 2022
12 pages
Published in:
  • Phys.Rev.D 108 (2023) 4, 044020
  • Published: Aug 8, 2023
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Abstract: (APS)
This study explores the properties of black holes and scalarons in Einstein gravity when it is minimally coupled to a scalar field ϕ with an asymmetric potential V(ϕ), constructed in [A. Corichi et al., Phys. Rev. D 73, 084002 (2006)] a few decades ago. V(ϕ) 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.
Note:
  • 12 pages, 10 figures
  • black hole: hair
  • coupling: minimal
  • hair: scalar
  • potential: asymmetry
  • black hole: stability
  • black hole: Schwarzschild
  • tunneling: quantum
  • field theory: scalar
  • scalaron
  • false vacuum