Evolution of bubbles in a vacuum

This paper examines the evolution of spherical bubbles in a vacuum for all possible values of the controlling parameters within the context of the general-relativistic thin-wall approximation. We propose a general classification of the admissible solutions and a graphical-numerical algorithm for their explicit construction from any given set of initial data. The different sectors in the space of the parameters are identified and a map of regions is constructed where single families of solutions can exist