Cosmic balloons, consisting of relativistic particles trapped inside a
spherical domain wall, may be created in the early universe. We calculate the
balloon mass M as a function of the radius R and the energy density
profile, ρ(r), including the effects of gravity. At the maximum balloon
mass 2GM/R≈0.52 for any value of the mass density of the wall.Comment: 9 pages, LaTeX, 2 figures in separate file, UPTP-93-1