Black Hole Skyrmions with Negative Cosmological Constant

Abstract

We study spherically symmetric black hole solutions with Skyrme hair in the Einstein-Skyrme theory with a negative cosmological constant. The dependence of the skyrmion field configuration on the cosmological constant is examined. The stability is investigated in detail by solving the linearly perturbed equation numerically. It is shown that there exist linearly stable solutions in the branch which represents unstable configuration in the asymptotically flat spacetime.

arXiv comment9 pages, 8 figures. Comments, one figure and two references added, to appear in Phys. Rev. D

References in corpus (15)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• Locally Localized Gravity
• Bent Domain Walls as Braneworlds
• Exact black hole solution with a minimally coupled scalar field
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
• Stability of Non-Abelian Black Holes
• Stability and Thermodynamics of AdS Black Holes with Scalar Hair
• Brane-skyrmions and wrapped states
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
• Cosmic Colored Black Holes
• Regular and Black Hole Skyrmions with Axisymmetry
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the even-parity sector
• Quantum Annihilation of Anti- de Sitter Universe

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