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 (39)

• Kerr black holes with scalar hair
• Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
• Spontaneous scalarisation of charged black holes
• Exact black hole solution with a minimally coupled scalar field
• Black holes and binary mergers in scalar Gauss-Bonnet gravity: scalar field dynamics
• Radial perturbations of the scalarized EGB black holes
• Phase transitions near black hole horizons
• Dynamics of spontaneous black hole scalarization and mergers in Einstein-scalar-Gauss-Bonnet gravity
• Photon Ring and Observational Appearance of a Hairy Black Hole
• Analytical representation for metrics of scalarized Einstein-Maxwell black holes and their shadows
• Photon Spheres and Spherical Accretion Image of a Hairy Black Hole
• Dynamical descalarization in binary black hole mergers
• Instability of Reissner-Nordström black hole in Einstein-Maxwell-scalar theory
• Polar quasinormal modes of the scalarized Einstein-Gauss-Bonnet black holes
• Quasinormal modes of hot, cold and bald Einstein-Maxwell-scalar black holes
• Exact Hairy Black Holes and their Modification to the Universal Law of Gravitation
• Exact Black-Hole Solution With Self-Interacting Scalar Field
• Non-singular solutions to Einstein-Klein-Gordon equations with a phantom scalar field
• Gregory-Laflamme instability of black hole in Einstein-scalar-Gauss-Bonnet theories
• Dynamical Formation of Scalarized Black Holes and Neutron Stars through Stellar Core Collapse
• Scalar Deformations of Schwarzschild Holes and Their Stability
• Radial perturbations of the scalarized black holes in Einstein-Maxwell-conformally coupled scalar theory
• Quasinormal modes of dilatonic Reissner-Nordström black holes
• Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential
• The effect of scalar hair on the charged black hole with the images from accretions disk
• Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity
• 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
• Scalar hairy black holes and scalarons in the isolated horizons formalism
• Black Holes with Scalar Hair in Three Dimensions
• Spherically symmetric configurations of General Relativity in presence of scalar field: separation of test body circular orbits
• Black holes in new massive conformal gravity
• 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