Generalized Skyrmions and hairy black holes in asymptotically AdS${}_4$ spacetime

Abstract

We investigate the properties of spherically symmetric black hole solutions in the generalized Einstein-Skyrme model theory in four-dimensional asymptotically anti-de Sitter space-time. The dependencies of the Skyrmion fields on the cosmological constant and on the strength of the effective gravitational coupling are examined. We show that the increase of the absolute value of the cosmological constant qualitatively yields the same effect as increasing of the effective gravitational coupling. We confirm that, similar to the model in the asymptotically flat space-time, a necessary condition for the existence of black holes with Skyrmionic hair is the inclusion of the Skyrme term.

arXiv comment23 pages, 15 figures

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• Analytic and asymptotically flat hairy (ultra-compact) black-hole solutions and their axial perturbations
• Novel exact ultra-compact and ultra-sparse hairy black holes emanating from regular and phantom scalar fields
• Neutron stars within the Skyrme model
• The BPS sectors of the Skyrme model and their non-BPS extensions
• Spinning gravitating Skyrmions in generalized Einstein-Skyrme model
• Static Black Holes in Higher Dimensional Einstein-Skyrme Models