  We consider scenarios of gravitino LSP and DM with stop NLSP both within
R-parity conserving and R-parity violating supersymmetry (RPC and RPV SUSY,
respectively). We discuss cosmological bounds from Big Bang Nucleosynthesis
(BBN) and the gravitino abundance and then concentrate on the signals of
long-lived stops at the LHC as displaced vertices or metastable particles.
Finally we discuss how to distinguish R-parity conserving and R-parity breaking
stop decays if they happen within the detector and suppress SM backgrounds.
