  We study gravitational perturbations sourced by a rotating test shell
collapsing into five-dimensional Myers-Perry black holes in anti-de Sitter
(AdS). Our attention is restricted to the case in which the two possible
angular momenta of the geometry are set equal. In this situation the background
is cohomogeneity-1, which amounts to a crucial technical simplification. It is
found that the linearized Einstein equations are consistent only when the test
shell is corotating with the spacetime. However, it is argued that this is a
consequence of the matter on the shell being described by dust or, more
precisely, noninteracting test particles. We compute the mass and angular
momenta of the perturbed spacetime using a counterterm subtraction method, for
which we provide an explicit formula that has not appeared previously in the
literature. The results are in agreement with the expected expressions for
energy and angular momenta of geodesic particles in AdS$_5$.
