Instability and no-hair paradigm in d-dimensional charged-AdS black holes

Abstract

Is it possible the no-hair paradigm is violated when a black hole undergoes an instability? Employing massless charged scalar perturbations, we address this question within the context of conformally invariant Einstein-Maxwell theory for some allowed $d$-dimensional ($d=4n+4$ with conformal parameter $n=0,1,2,...$ ) topological small AdS black-holes. We provide numerical analyses that show the non trivial scalar hairy black hole solutions to include planar and spherical horizon topologies in higher dimensions with an even conformal parameter $n$. It is also shown that the solutions presented here cannot be considered as scalar hairs for a Reissner-Nordstrom background. As a result, for $d$-dimensional small AdS black holes in the presence of a conformally invariant Maxwell source, the no-scalar hair paradigm seems to be supported.

arXiv comment13 pages, 5 figures, to appear in Nuclear Physics B

References in corpus (46)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The Large N Limit of Superconformal Field Theories and Supergravity
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Quasinormal modes of black holes and black branes
• Breaking an Abelian gauge symmetry near a black hole horizon
• Lectures on Holographic Superfluidity and Superconductivity
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• The black hole bomb and superradiant instabilities
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Introduction to Holographic Superconductors
• Black-Hole Bombs and Photon-Mass Bounds
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Small Kerr-anti-de Sitter black holes are unstable
• Superradiant instabilities of rotating black holes in the time domain
• A Classical Instability of Reissner-Nordstrom Solutions and the Fate of Magnetically Charged Black Holes
• Higher dimensional charged $f(R)$ black holes
• Superradiant instability of massive vector fields around spinning black holes in the relativistic regime
• Time evolution of superradiant instabilities for charged black holes in a cavity
• Analytic treatment of the black-hole bomb
• Nonlinear Evolution and Final Fate of Charged Anti-de Sitter Black Hole Superradiant Instability
• Stability of black holes in Einstein-charged scalar field theory in a cavity
• Black hole solutions in Einstein-charged scalar field theory
• Towards a Novel no-hair Theorem for Black Holes
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Stationary scalar configurations around extremal charged black holes
• Analytic treatment of the charged black-hole-mirror bomb in the highly explosive regime
• Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
• Exploring New Physics Frontiers Through Numerical Relativity
• Universality of massive scalar field late-time tails in black-hole spacetimes
• Massive scalar field instability in Kerr spacetime
• Ricci flat rotating black branes with a conformally invariant Maxwell source
• A superradiance resonance cavity outside rapidly rotating black holes
• Spherical electro-vacuum black holes with resonant, scalar $Q$-hair
• Quasinormal modes of a massless charged scalar field on a small Reissner-Nordström-anti-de Sitter black hole
• Synchronous frequencies of extremal Kerr black holes: resonances, scattering and stability
• Superradiant Instabilities in a Class of Scalar-Tensor Horndeski Theory
• Linear stability of nonbidiagonal black holes in massive gravity
• New aspect of critical nonlinearly charged black hole
• Superradiance of charged black holes in Einstein-Gauss-Bonnet Gravity
• Superradiance and instability of small rotating charged AdS black holes in all dimensions
• Dynamical signatures of black holes in massive Chern-Simons gravity: Quasibound modes and time evolution
• Time evolutions of scalar field perturbations in $D$-dimensional Reissner-Nordström Anti-de Sitter black holes
• Scalar Hair Around Charged Black Holes in Einstein-Gauss-Bonnet Gravity
• Superradiant instability of dyonic black holes in string theory

Cited by in corpus (16)

• Superradiance evolution of black hole shadows revisited
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Magnetic Reconnection and Energy Extraction from a Spinning Black Hole with Broken Lorentz Symmetry
• Rotating hairy black holes and thermodynamics from gravitational decoupling
• Black Hole Superradiance in the Presence of Lorentz Symmetry Violation
• Analytic topological hairy dyonic black holes and thermodynamics
• Magnetically Charged Euler-Heisenberg Black Holes with Scalar Hair
• Superradiance and Stability of Kerr Black Hole Enclosed by Anisotropic Fluid Matter
• Scattering and absorption of a scalar field impinging on a charged black hole in the Einstein-Maxwell-dilaton theory
• Superradiant instability of the Kerr-like black hole in Einstein-bumblebee gravity
• Lifetime of scalar cloud formation around a rotating regular black hole
• Superradiant energy extraction from rotating hairy Horndeski black holes
• Evolution of Anti-de Sitter black holes in Einstein-Maxwell-dilaton theory
• Shedding new light on the absence of fermionic superradiance and maximal infalling rate of fermions into a black hole
• Superradiance of rotating black holes surrounded by dark matter
• Impact of the cosmic neutrino background on black hole superradiance