Abelian Higgs Hair for Black Holes

Abstract

We find evidence for the existence of solutions of the Einstein and Abelian Higgs field equations describing a black hole pierced by a Nielsen-Olesen vortex. This situation falls outside the scope of the usual no-hair arguments due to the non-trivial topology of the vortex configuration and the special properties of its energy-momentum tensor. By a combination of numerical and perturbative techniques we conclude that the black hole horizon has no difficulty in supporting the long range fields of the Nielsen Olesen string. Moreover, the effect of the vortex can in principle be measured from infinity, thus justifying its characterization as black hole ``hair".

31 pages, plain tex, 7 figures included. minor corrections and references added

References in corpus (3)

• Breaking Cosmic Strings without Monopoles
• Smooth metrics for snapping strings
• Static Black Hole Solutions without Rotational Symmetry

Cited by in corpus (94)

• Dilatonic Black Holes in Higher Curvature String Gravity
• No hair for spherical black holes: charged and nonminimally coupled scalar field with self--interaction
• Numerical Methods for Finding Stationary Gravitational Solutions
• Accelerating Black Holes and Spinning Spindles
• Black Hole Thermodynamics with Conical Defects
• Pair production of black holes on cosmic strings
• Braneworld stars and black holes
• Breaking Cosmic Strings without Monopoles
• Black diholes
• Vortices in holographic superfluids and superconductors as conformal defects
• Axisymmetric metrics in arbitrary dimensions
• Smooth metrics for snapping strings
• Exact Black Holes and Gravitational Shockwaves on Codimension-2 Branes
• Braneworld black holes
• Accelerating Black Hole Chemistry
• Black holes on thick branes
• Pair creation of black holes joined by cosmic strings
• Test particle motion in the space-time of a Kerr black hole pierced by a cosmic string
• The complete set of solutions of the geodesic equations in the space-time of a Schwarzschild black hole pierced by a cosmic string
• The extremal limits of the C-metric: Nariai, Bertotti-Robinson and anti-Nariai C-metrics
• Vortex Holography
• Black hole solutions in scalar-tensor symmetric teleparallel gravity
• Coloured Black Holes in Higher Curvature String Gravity
• Bubbles in Kaluza-Klein theories with space- or time-like internal dimensions
• Scalarization of asymptotically Anti-de Sitter black holes with applications to holographic phase transitions
• Compact objects in scalar-tensor theories after GW170817
• Vortices and extreme black holes: the question of flux expulsion
• No hair theorems for positive Λ
• Time dependent black holes and scalar hair
• Decay of Dirac Massive Hair in the Background of Spherical Black Hole
• Accelerating Black Holes
• String-Like BTZ on Codimension-2 Braneworlds in the Thin Brane Limit
• Vortices in De Sitter Spacetimes
• Pair creation of de Sitter black holes on a cosmic string background
• Effective field theory for black holes with induced scalar charges
• Abelian Higgs hair for extreme black holes and selection rules for snapping strings
• Deriving the mass of particles from Extended Theories of Gravity in LHC era
• Polarimetric signatures of the photon ring of a black hole that is pierced by a cosmic axion string
• Primordial black holes from cusp collapse on cosmic strings
• Can extreme black holes have (long) Abelian Higgs hair?
• Black Holes on Thin 3-branes of Codimension-2 and their Extension into the Bulk
• Rotating black hole hair
• Finely Split Phase Transitions of Rotating and Accelerating Black Holes
• Are Superentropic black holes superentropic?
• Comment on ``Absence of abelian Higgs hair for extremal black holes''
• Vortices in Black Holes
• Abelian Higgs Hair for AdS-Schwarzschild Black Hole
• Quantum tunneling from rotating black holes with scalar hair in three dimensions
• No hair theorems for stationary axisymmetric black holes
• Dilaton Black Holes on Thick Branes
• Correlations between black holes formed in cosmic string breaking
• Abelian Higgs Hair for a Static Charged Black String
• Abelian Higgs Hair for Rotating and Charged Black Holes
• Astrophysical black holes in screened modified gravity
• Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
• Discrete Gauge Symmetries and the Weak Gravity Conjecture
• Non-perturbative materialization of ghosts
• Global First Laws of Accelerating Black Holes
• Pair creation of higher dimensional black holes on a de Sitter background
• Abelian Higgs Hair for Electrically Charged Dilaton Black Holes
• Reissner-Nordstrom Black Holes and Thick Domain Walls
• Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity
• Electrostatics in a Schwarzschild black hole pierced by a cosmic string
• Effect of a positive cosmological constant on cosmic strings
• The branch process of the cosmic strings
• The Question of Abelian Higgs Hair Expulsion from Extremal Dilaton Black Holes
• Hairy rotating black string in the Einstein-Maxwell-Higgs system
• Euclidean Dilaton Black Hole Vortex and Dirac Fermions
• Pair creation of anti-de Sitter black holes on a cosmic string background
• Vortices and black holes in dilatonic gravity
• Cosmological Black Holes on Branes
• Ringdown Spectroscopy of Rotating Black Holes Pierced by Cosmic Strings
• Black hole pair production on cosmic strings in the presence of a background magnetic field
• Thick Domain Walls and Charged Dilaton Black Holes
• Exact \textit{pp}-waves, (A)dS waves and Kundt spaces in the Abelian-Higgs model
• Classical defects in higher-dimensional Einstein gravity coupled to nonlinear $\sigma$-models
• Thick Domain Walls in AdS Black Hole Spacetimes
• Selection rules for splitting strings
• Spectral lines of dirty wormholes
• A New Class of Accelerating Black Hole Solutions
• Black Hole Solutions and Pair Creation of Black Holes in Three, Four and Higher Dimensional Spacetimes
• Dirac Fermions in Non-trivial Topology Black Hole Backgrounds
• No-Hair Theorem for Spontaneously Broken Abelian Models in Static Black Holes
• Modification of the laws of gravity in the DGP model by the presence of a second DGP brane
• Can Superconducting Cosmic Strings Piercing Seed Black Holes Generate Supermassive Black Holes in the Early Universe?
• Superconducting Hair on Charged Black String Background
• Black Holes and Black String-like Solutions in Codimension-2 Braneworlds
• Accretion of a Symmetry Breaking Scalar Field by a Schwarzschild Black Hole
• The Number of Particles Released in Gauge Cosmic String Formation
• Dark matter cosmic string in the gravitational field of a black hole
• Macroscopic open strings and gravitational confinement
• NS Fivebrane and Tachyon Condensation
• BTZ Solutions on Codimension-2 Braneworlds
• Codimension-2 black hole solutions on a thin 3-brane and their extension into the bulk