  We consider theories with spontaneously broken global or local supersymmetry
where the pseudo-goldstino or the gravitino is the lightest superparticle
(LSP). Assuming that the long-lived next-to-lightest superparticle (NSP) is a
charged slepton, we study several supergravity predictions: the NSP lifetime,
angular and energy distributions in 3-body NSP decays. The characteristic
couplings of the gravitino, or goldstino, can be tested even for very small
masses.
