  The phenomenon of superradiance in the context of asymptotically global AdS
spacetimes is investigated with particular accent on its effect on the
stability of the systems under consideration. To this end, the concept of an
asymptotically AdS spacetime is explained, together with its implications on
the boundary conditions at $\mathcal{I}$, as well as the
Newman-Penrose-Teukolsky formalism, whereby the Teukolsky master equation in a
most general form for Kerr-AdS is given. Furthermore, work done in the cases of
RN-AdS and Kerr-AdS is laid out in a concise manner, putting emphasis on the
important steps taken in determining the endpoint of the superradiant
instability in the two configurations. For the former this turns out to be a
black hole with reduced charge and a static charged scalar condensate around
it, whereas for the latter two of the more probable outcomes are presented,
both of which imply a violation of one of the cosmic censorships.
