  We consider a space-time with extra dimensions containing sectors, branes and
bulk, that communicate only through gravitational interactions. In each sector,
if considered separately, supersymmetry could be spontaneously broken, leading
to the appearance of Goldstinos. However, when taken all together, only certain
combinations of the latter states turn out to be true ``would be Goldstinos'',
eaten by the gravitinos. The other (orthogonal) combinations, we call
pseudo-Goldstinos, remain in the low energy spectrum. We discuss explicitly how
this happen in the simplest set-up of five-dimensional space compactified on
S^1/Z_2 . Our results divide into two parts that can be considered separately.
First, we build an extension of the bulk five-dimensional supergravity, by a
set of new auxiliary fields, that allows coupling it to branes where
supersymmetry is spontaneously broken. Second, we discuss in details the super
Higgs mechanism in the R_\xi and unitary gauges, in the presence of both of a
bulk Scherk-Schwarz mechanism and brane localized F-terms. This leads us to
compute the gravitino mass and provide explicit formulae for the
pseudo-Goldstinos spectrum.
