ЖЭТФ, Том 148,
стр. 1130 (Декабрь 2015)
(Английский перевод - JETP,
Vol. 121, No 6,
доступен on-line на www.springer.com
Поступила в редакцию: 30 Мая 2015
We construct solutions of the 3+1 dimensional Faddeev-Skyrme model coupled to Einstein gravity. The solutions are static and asymptotically flat. They are characterized by a topological Hopf number. We investigate the dependence of the ADM masses of gravitating Hopfions on the gravitational coupling. When gravity is coupled to flat space solutions, a branch of gravitating Hopfion solutions arises and merges at a maximal value of the coupling constant with a second branch of solutions. This upper branch has no flat space limit. Instead, in the limit of a vanishing coupling constant, it connects to either the Bartnik-McKinnon or a generalized Bartnik-McKinnon solution. We further find that in the strong-coupling limit, there is no difference between the gravitating solitons of the Skyrme model and the Faddeev-Skyrme model.