  Gravitational collapse of matter in the presence of rotation is a mostly
unexplored topic but it might have important implications for cosmic
censorship. Recently a convenient setup was identified to address this problem,
by considering thin matter shells at the interface between two equal angular
momenta Myers-Perry spacetimes in five dimensions. This note provides more
details about the matching of such cohomogeneity-1 spacetimes and extends the
results obtained therein to arbitrary higher odd dimensions. It is also pointed
out that oscillatory orbits for shells in asymptotically flat spacetimes can be
naturally obtained if the matter has a negative pressure component.

General Relativity and Quantum Cosmology