Abstract
The present project serves the purpose of investigating new types of U(1)-gauged pion stars, electrically charged Skyrmions and rotating hairy black holes. The goals of the project are: 1) Investigation of new solutions for an Einstein-Skyrme model with a false vacuum potential., 2) Construction of new types of gauged pion stars, 3) Explicit construction of hairy black holes in the U(1) g…