Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: black hole solutions

Abstract

We investigate static axially symmetric black hole solutions in a four-dimensional Einstein-Yang-Mills-SU(2) theory with a negative cosmological constant $\Lambda$. These solutions approach asymptotically the anti-de Sitter spacetime and possess a regular event horizon. A discussion of the main properties of the solutions and the differences with respect to the asymptotically flat case is presented. The mass of these configurations is computed by using a counterterm method. We note that the $\Lambda =-3$ configurations have an higher dimensional interpretation in context of $d=11$ supergravity. The existence of axially symmetric monopole and dyon solutions in a fixed Schwarzschild-anti-de Sitter background is also discussed. An exact solution of the Einstein-Yang-Mills equations is presented in Appendix.

47 pages, 47 figures

References in corpus (39)

• The Large N Limit of Superconformal Field Theories and Supergravity
• A Stress Tensor for Anti-de Sitter Gravity
• Charged AdS Black Holes and Catastrophic Holography
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Anti De Sitter Space And Holography
• Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
• Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory
• Static black hole solutions with axial symmetry
• A Monopole-Antimonopole Solution of the SU(2) Yang-Mills-Higgs Model
• On the existence of conformally coupled scalar field hair for black holes in (anti-)de Sitter space
• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: I.Regular Solutions
• Axially Symmetric Monopoles and Black Holes in Einstein-Yang-Mills-Higgs Theory
• Einstein-Yang-Mills Isolated Horizons: Phase Space, Mechanics, Hair and Conjectures
• Rotating Einstein-Yang-Mills Black Holes
• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: II.Black Hole Solutions
• Five-dimensional Black Hole and Particle Solution with Non-Abelian Gauge Field
• On rotating regular nonabelian solutions
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
• New hairy black holes with negative cosmological constant
• Monopole and Dyon Solutions in AdS space
• More on counterterms in the gravitational action and anomalies
• Monopole Solutions in AdS Space
• Non-Abelian gravitating solitons with negative cosmological constant
• Gravitating Solitons and Hairy Black Holes
• Mass of Colored Black Holes
• On Axially Symmetric Solutions in the Electroweak Theory
• Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: the regular case
• Expanding the Area of Gravitational Entropy
• Magnetic charge, angular momentum and negative cosmological constant
• Multisphalerons in the Weinberg-Salam Theory
• Dyons with axial symmetry
• Abelian Higgs Hair for AdS-Schwarzschild Black Hole
• Gravitating nonabelian solutions with NUT charge
• Abelian Higgs Hair for a Static Charged Black String
• Scaling Behavior in the Einstein-Yang-Mills Monopoles and Dyons
• Rotating Yang-Mills dyons in anti-de Sitter spacetime
• Four-Dimensional Einstein Yang-Mills De Sitter Gravity From Eleven Dimensions
• Platonic Sphalerons

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