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This work studies mode stability of an STU black hole with four pairwiseequal $\rm{U(1)}$ charges in four spacetime dimensions. We investigate bosonicperturbations for probe fields of different spins through the transformationtechnique devised by Whiting in 1989. Finally, we introduce connectionrelations inspired by the work of ~Duzta\c{s} (2016) to prove the absence ofunstable modes that solve the torsion-modified Dirac equation appropriate forthis black hole background.

Higher Spin Mode Stability for STU Black Hole Backgrounds