We investigate spherically symmetric solutions with pressure and discuss the existence of a dividing shell separating expanding and collapsing regions. We perform a 3+1 splitting and obtain gauge invariant conditions relating not only the intrinsic spatial curvature of the shells to the ADM mass, but also a function of the pressure which we introduce and that generalises the Tolman-Oppenheimer-Volkoff quilibrium condition. We also analyse particular cases like the Lemaitre-Tolman dust models with a cosmological constant as an example of a \Lambda-CDM model. These models provide simple, but physically interesting illustrations of our results. |