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We obtain explicit separable solutions of the wave equation of masslessminimally coupled scalar fields in the subtracted geometry of four-dimensionalrotating and Melvin (magnetised) four-charge black holes of the STU model, aconsistent truncation of maximally supersymmetric supergravity with four typesof electromagnetic fields. These backgrounds possess a hidden SL(2,R) x SL(2,R)x SO(3) symmetry and faithfully model the near horizon geometry of these blackholes, but locate them in a confining asymptotically conical box. For eachsubtracted geometry we obtain two branches of quasi-normal modes, given interms of hypergeometric functions and spherical harmonics. One branch isover-damped and the other under-damped and they exhibit rotational splitting.No black hole bomb is possible because the Killing field which co-rotates withthe horizon is everywhere timelike outside the black hole. A five-dimensionallift of these geometries is given locally by the product of a BTZ black holewith a two-sphere. This allows an explicit analysis of the minimally coupledmassive five-dimensional scalar field. Again, there are two branches, bothdamped, however now their oscillatory parts are shifted by the quantised wavenumber $k$ along the fifth circle direction.

Quasi-Normal Modes for Subtracted Rotating and Magnetised Geometries