Non-Abelian gravitating solitons with negative cosmological constant

Abstract

Static, spherically symmetric solutions with regular origin are investigated of the Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$. A combination of numerical and analytical methods leads to a clear picture of the `moduli space' of the solutions. Some issues discussed in the existing literature on the subject are reconsidered and clarified. In particular the stability of the asymptotically AdS solutions is studied. Like for the Bartnik-McKinnon (BK) solutions obtained for $\Lambda =0$ there are two different types of instabilities -- `topological' and `gravitational'. Regions with any number of these instabilities are identified in the moduli space. While for BK solutions there is always a non-vanishing equal number of instabilities of both types, this degeneracy is lifted and there exist stable solutions, genuine sphalerons with exactly one unstable mode and so on. The boundaries of these regions are determined.

arXiv comment20 pages, 9 figures

References in corpus (17)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Gravitating Monopole Solutions II
• 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
• Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space
• THE NUMBER OF SPHALERON INSTABILITIES OF THE BARTNIK-McKINNON SOLITONS AND NON-ABELIAN BLACK HOLES
• Cosmological Analogues of the Bartnik--McKinnon Solutions
• A Remark on the Instability of the Bartnik-McKinnon Solutions
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
• Cosmic Colored Black Holes
• New hairy black holes with negative cosmological constant
• Mass inflation and chaotic behaviour inside hairy black holes
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the even-parity sector
• Stability Analysis of New Solutions of the EYM system with Cosmological Constant
• Scaling Behavior in the Einstein-Yang-Mills Monopoles and Dyons
• Finite energy/action solutions of $p_1$ Yang-Mills equations on $p_2$ Schwarzschild and deSitter backgrounds for dimension $d\ge 4$
• Non-Abelian Surprises in Gravity

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