Selfgravitating solutions of the Skyrme model and their stability

We give a brief survey of the spherically symmetric soliton and black bole solutions of the Einstein-Skyrme system, of which we have presented the fundamental brancbes in a recent publication. Some of the basic features and the linear stability properties of both classes of solutions are discussed. We also derive a mass variation formula for general stationary Skyrme black boles and show that the latter assumes the familiar vacuum form in the static, spherically symmetric case under consideration. We conclude with new results of a numerical non-linear stability analysis which yields strong evidence for the stability of the fundamental soliton solutions