F. Fayos Vidal, José María Martín Senovilla, R. Torres
Our aim is to give a general framework for the collapse of spherically symmetric objects and for voids. To accomplish this we will consider the matching of two spherically symmetric space-time regions. We will give a set of conditions to ensure us that the space-time has a physical meaning. Finally we will be able to present a set of necessary conditions which allow us to ascertain which matchings are feasible and which are not allowed. We shall illustrate these results by applying them to reject some families of models and by showing particular well-behaved ones.
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