On the stability of soliton and hairy black hole solutions of 𝔰𝔲(N) Einstein-Yang-Mills theory with a negative cosmological constant

DOI10.1063/1.4940694zbMath1336.83006arXiv1501.07541OpenAlexW2599036169WikidataQ62476408 ScholiaQ62476408MaRDI QIDQ2795563

Elizabeth Winstanley, J. Erik Baxter

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07541

zbMATH Keywords

stabilityperturbationsnegative cosmological constantsolitonEinstein-Yang-Mills theorygravitational sectorshairy black hole solutionssphaleronic

Mathematics Subject Classification ID

Black holes (83C57) Yang-Mills and other gauge theories in quantum field theory (81T13) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Einstein-Maxwell equations (83C22) Soliton solutions (35C08)

Related Items (7)

On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups ⋮ Black holes with \( \mathfrak{s}\mathfrak{u}(N) \) gauge field hair and superconducting horizons ⋮ On the existence of topological hairy black holes in \(\mathfrak{su}(N)\) EYM theory with a negative cosmological constant ⋮ On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups ⋮ Dyonic black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein–Yang–Mills theory, characterised by an infinite set of global charges ⋮ Stability analysis of black holes by the S -deformation method for coupled systems ⋮ A Menagerie of Hairy Black Holes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Charged black holes in colored Lifshitz spacetimes
• Lifetime of unstable hairy black holes
• Classification of static, spherically symmetric solutions of the Einstein-Yang-Mills theory with positive cosmological constant
• On the existence of topological hairy black holes in \(\mathfrak{su}(N)\) EYM theory with a negative cosmological constant
• Smooth static solutions of the Einstein/Yang-Mills equations
• Analysis of the static spherically symmetric SU\((n)\)-Einstein-Yang-Mills equations
• Static spherically symmetric solutions of the Einstein-Yang-Mills equations
• On the number of instabilities of cosmological solutions in an Einstein-Yang-Mills system
• New hairy black holes with negative cosmological constant
• Higher order curvature generalizations of Bartnick-McKinnon and coloured black hole solutions in \(d=5\)
• Topological black holes in \(\mathfrak{su}(N)\) Einstein-Yang-Mills theory with a negative cosmological constant
• Thermodynamic properties of asymptotically anti-de Sitter black holes in \(d = 4\) Einstein-Yang-Mills theory
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
• On the stability of dyons and dyonic black holes in Einstein–Yang–Mills theory
• Characterizing asymptotically anti-de Sitter black holes with abundant stable gauge field hair
• Abundant Stable Gauge Field Hair for Black Holes in Anti–de Sitter Space
• SU(n)-Einstein-Yang-Mills fields with spherical symmetry
• Spherically symmetric static SU(2) Einstein–Yang–Mills fields
• Classical Yang–Mills Black Hole Hair in Anti-de Sitter Space
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the even-parity sector
• The structure of spherically symmetric su(n) Yang–Mills fields
• Non-Abelian gravitating solitons with negative cosmological constant
• Existence of stable hairy black holes in su (2) Einstein-Yang-Mills theory with a negative cosmological constant
• A nodal theorem for coupled systems of Schrödinger equations and the number of bound states
• On the existence of dyons and dyonic black holes in Einstein–Yang–Mills theory
• Instability proof for Einstein–Yang–Mills solitons and black holes with arbitrary gauge groups
• On the existence of soliton and hairy black hole solutions of {\mathfrak {su}}(N) Einstein–Yang–Mills theory with a negative cosmological constant
• Gravitating Yang-Mills vortices in \(4+1\) spacetime dimensions

This page was built for publication: On the stability of soliton and hairy black hole solutions of 𝔰𝔲(N) Einstein-Yang-Mills theory with a negative cosmological constant