Hairy black holes in the general Skyrme model

摘要: We study the existence of hairy black holes in generalized Einstein-Skyrme model. It is proven that Bogomol'nyi-Prasad-Sommerfield model limit there are no hole solutions, although admits gravitating (and flat space) solitons. Furthermore, we find strong evidence a necessary condition for with Skyrmionic hair inclusion Skyrme term ${\mathcal{L}}_{4}$. As an example, show ${\mathcal{L}}_{2}+{\mathcal{L}}_{6}+{\mathcal{L}}_{0}$ and present new kind solutions compact Skyrmion ${\mathcal{L}}_{4}+{\mathcal{L}}_{6}+{\mathcal{L}}_{0}$