THE NUMBER OF SPHALERON INSTABILITIES OF THE BARTNIK-McKINNON SOLITONS AND NON-ABELIAN BLACK HOLES

Abstract

It is proven that there are precisely $n$ odd-parity sphaleron-like unstable modes of the $n$-th Bartnik-McKinnon soliton and the $n$-th non-abelian black hole solution of the Einstein-Yang-Mills theory for the gauge group $SU(2)$.

one reference is added

References in corpus (6)

• Smooth static solutions of the Einstein-Yang/Mills equation
• A Remark on the Instability of the Bartnik-McKinnon Solutions
• Instability of Einstein-Yang-Mills Solitons for Arbitrary Gauge Groups
• Instability of Gravitating Sphalerons
• Einstein-Yang-Mills sphalerons and fermion number non-conservation
• Einstein-Yang-Mills Sphalerons and Level Crossing

Cited by in corpus (73)

• Stationary Black Holes: Uniqueness and Beyond
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Critical phenomena in gravitational collapse
• Critical phenomena in gravitational collapse (Physics Reports)
• Dilatonic Black Holes in Higher-Curvature String Gravity II: Linear Stability
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
• Hairy Black Holes and Null Circular Geodesics
• Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory
• Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space
• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: I.Regular Solutions
• Critical phenomena in gravitational collapse - Living Reviews
• Extremal Kerr-Newman black holes with extremely short charged scalar hair
• Rotating black holes can have short bristles
• Einstein-Yang-Mills Isolated Horizons: Phase Space, Mechanics, Hair and Conjectures
• Aspects of hairy black holes in spontaneously-broken Einstein-Yang-Mills systems: Stability analysis and Entropy considerations
• No-scalar hair conjecture in asymptotic de-Sitter spacetime
• Rotating hairy black holes and thermodynamics from gravitational decoupling
• Cosmic Colored Black Holes
• Exact topological charged hairy black holes in AdS Space in $D$-dimensions
• New Critical Behavior in Einstein-Yang-Mills Collapse
• Classical Yang-Mills black hole hair in anti-de Sitter space
• SU(3) Einstein-Yang-Mills Sphalerons and Black Holes
• Non-Abelian gravitating solitons with negative cosmological constant
• Stability of gravitating charged-scalar solitons in a cavity
• Stability Analysis of New Solutions of the EYM system with Cosmological Constant
• Charged SU(N) Einstein-Yang-Mills Black Holes
• Global Monopole in Asymptotically dS/AdS Spacetime
• Analytic topological hairy dyonic black holes and thermodynamics
• Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in anti-de Sitter space
• Sequences of Einstein-Yang-Mills-Dilaton Black Holes
• Lifetime of unstable hairy black holes
• New Regular Solutions with Axial Symmetry in Einstein-Yang-Mills Theory
• A universal formula for the density of states with continuous symmetry
• On the existence of soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory with a negative cosmological constant
• Domain Wall Dynamics in Brane World and Non-singular Cosmological Models
• Formation and decay of Einstein-Yang-Mills black holes
• Stability Analysis of The Twisted Superconducting Semilocal Strings
• Dyons and dyonic black holes in $\mathfrak{su}(N)$ Einstein-Yang-Mills theory in anti-de Sitter space-time
• Pulsation of Spherically Symmetric Systems in General Relativity
• SU(3) Einstein-Yang-Mills-Dilaton Sphalerons and Black Holes
• Hairy black holes: stability under odd-parity perturbations and existence of slowly rotating solutions
• Scalar quasinormal modes of black holes in Einstein-Yang-Mills gravity
• Hairy Wormholes and Bartnik-McKinnon Solutions
• New Black Hole Solutions with Axial Symmetry in Einstein-Yang-Mills Theory
• On the stability of soliton and hairy black hole solutions of $\mathfrak{su}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant
• Boson stars in SU(2) Yang-Mills-scalar field theories
• Critical phenomena in the general spherically symmetric Einstein-Yang-Mills system
• Spatially Compact Solutions and Stabilization in Einstein-Yang-Mills-Higgs Theories
• Late-time evolution of Dirac field around Schwarzschild-quintessence black hole
• Existence of topological hairy dyons and dyonic black holes in anti-de Sitter SU(N) Einstein-Yang-Mills theory
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• On the number of instabilities of cosmological solutions in an Einstein-Yang-Mills system
• Solitons and hairy black holes in Einstein-non-Abelian-Proca theory in anti-de Sitter space-time
• Non-Abelian Magnetized Blackholes and Unstable Attractors
• Critical behavior of gravitating sphalerons
• Do stringy corrections stabilize coloured black holes?
• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• On the existence of topological hairy black holes in $\mathfrak{su}(N)$ EYM theory with a negative cosmological constant
• Computation of the winding number diffusion rate due to the cosmological sphaleron
• Are gravitating magnetic monopoles stable?
• No-short scalar hair theorem for spinning acoustic black holes in a photon-fluid model
• Perturbations of global monopoles as a black hole's hair
• Euclidean solutions of Yang-Mills-dilaton theory
• Non-Abelian black holes: The inside story
• Instability of sphaleron black holes in asymptotically anti-de Sitter space-time
• On the instabilities of the static, spherically symmetric SU(2) Einstein-Yang-Mills-Dilaton solitons and black holes
• Features of Motion Around Global Monopole in Asymptotically dS/AdS Spacetime
• On the global existence of spherically symmetric hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups
• Stability and Critical Behavior of Gravitational Monopoles
• Exact solutions in Einstein-Yang-Mills-Dirac systems
• A numerical study of the Schrodinger-Newton equation 1: Perturbing the spherically-symmetric stationary states
• Einstein-Yang-Mills Regular Black Holes in Rainbow Gravity
• Dyonic black holes in $\mathfrak{su}(\infty )$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinite set of global charges