The simplest model of a scalarized black hole in the Einstein-Klein-Gordon theory

Abstract

We investigate scalarized black holes in the Einstein-minimally coupled scalar theory with a negative potential $V(\varphi )=-{\alpha }^2{\varphi }^6$. The tachyonic instability is absent from analyzing the linearized scalar equation, which could not allow for spontaneous scalarization. However, we obtain the black hole solutions with scalar hair by solving three full equations because this scalar potential violates the weak energy condition. This shows clearly that scalarized black holes can be obtained without introducing a non-minimal scalar coupling term. We perform the stability analysis for scalarized black holes by adopting radial perturbations, implying that all scalarized black holes belonging to a single branch are unstable.

18 pages with 8 figures (To match with the published version)

References in corpus (17)

• Dynamics of spontaneous black hole scalarization and mergers in Einstein-scalar-Gauss-Bonnet gravity
• Photon Ring and Observational Appearance of a Hairy Black Hole
• Photon Spheres and Spherical Accretion Image of a Hairy Black Hole
• Polar quasinormal modes of the scalarized Einstein-Gauss-Bonnet black holes
• Dynamical Formation of Scalarized Black Holes and Neutron Stars through Stellar Core Collapse
• Radial perturbations of the scalarized black holes in Einstein-Maxwell-conformally coupled scalar theory
• Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential
• Quasinormal modes of dilatonic Reissner-Nordström black holes
• The effect of scalar hair on the charged black hole with the images from accretions disk
• Tidal Love numbers and approximate universal relations for fermion soliton stars
• Fermion Soliton Stars with Asymmetric Vacua
• Nonlinearly scalarized rotating black holes in Einstein-scalar-Gauss-Bonnet theory
• Black Holes with Scalar Hair in Three Dimensions
• Scalar Hairy Black Holes with Inverted Mexican Hat Potential
• Gravitating Scalarons with Inverted Higgs Potential
• Trajectories of photons around a rotating black hole with unusual asymptotics
• Probing light scalars with not quite black holes

Cited by in corpus (5)

• Thin Accretion Disk Around Rotating Hairy Black Hole: Radiative Property and Optical Appearance
• Geodesic Motion of Test Particles around the Scalar Hairy Black Holes with Asymmetric Vacua
• Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential
• Radiative properties of thin accretion disks around rotating short-hairy black holes
• Energy conditions in static, spherically symmetric spacetimes and effective geometries