Scalarization and superradiant instability of black hole induced by dark matter halo in the scalar-tensor theory of gravity

Abstract

We investigate whether a black hole(BH) surrounded by a dark matter (DM) halo has scalar hair/superradiant instability in the scalar tensor theory of gravity. In the scalar tensor theory, the coupling of matter and the scalar field creates effective mass, this effective mass causes the hairless BH to have scalar hair (spontaneous Scalarization). In the case of rotating BHs, it is also known that if the sign of the effective mass is positive, superradiant instability can occur instead of scalarization. Our study applies this effect to BHs with dark matter haloes. As a result, we confirmed that scalarization and superradiant instability occur in some of the parameter regions. In the case of small haloes, the size and mass of the halo affect the strength of scalarization, but not for astronomically large haloes, where the dependence on the coupling constant $\alpha$ is stronger. In the case of superradiance, we also confirm that for small haloes, the size and mass of the halo affect the strength of the instability and the number of unstable modes.

arXiv comment21 pages, 39 figures

References in corpus (37)

• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• The Structure of Dark Matter Haloes in Dwarf Galaxies
• Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration
• Tensor-scalar gravity and binary-pulsar experiments
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Black holes in scalar-tensor gravity
• Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes
• Small Kerr-anti-de Sitter black holes are unstable
• Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
• Floating and sinking: the imprint of massive scalars around rotating black holes
• Bose-Einstein condensation of dark matter solves the core/cusp problem
• Gravitational Waves from Quasicircular Extreme Mass-Ratio Inspirals as Probes of Scalar-Tensor Theories
• Stability and quasinormal modes of the massive scalar field around Kerr black holes
• Black Hole Space-time In Dark Matter Halo
• Flat Central Density Profile and Constant DM Surface Density in Galaxies from Scalar Field Dark Matter
• Matter around Kerr black holes in scalar-tensor theories: scalarization and superradiant instability
• Classical instability of Kerr-AdS black holes and the issue of final state
• Spontaneous scalarization
• Perturbed Kerr Black Holes can probe deviations from General Relativity
• Stability Analysis of Spherically Symmetric Star in Scalar-Tensor Theories of Gravity
• Massive Boson Superradiant Instability of Black Holes: Nonlinear Growth, Saturation, and Gravitational Radiation
• Neutron star transition to strong-scalar-field state in tensor scalar gravity
• Measuring spacetime: from big bang to black holes
• Inflation and Braneworlds
• Electroweak baryogenesis and primordial hypermagnetic fields
• Cosmic acceleration, scalar fields and observations
• Cosmological applications of loop quantum gravity
• Lectures on the Theory of Cosmological Perturbations
• The Accelerating Universe and Dark Energy: Evidence from Type Ia Supernovae
• General Relativity solutions in modified gravity
• Superradiant instability of Kerr-de Sitter black holes in scalar-tensor theory
• Gravitational ringing and superradiant instabilities of the Kerr-like black holes in a dark matter halo
• Investigating AGN Black Hole Masses and the M-${\sigma }_e$ relation for Low Surface Brightness Galaxies
• Cosmic Radio Background from Primordial Black Holes at Cosmic Dawn
• Comparison between two scalar field models using rotation curves of spiral galaxies