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The superradiant stability of asymptotically flat $D$-dimensionalnon-extremal Reissner-Nordstrom black holes under charged massive scalarperturbation is analytically studied. In previous works, it proved that thereare no black hole bombs for five and six-dimensional non-extremalReissner-Nordstrom black holes against charged massive scalar perturbation. Inthis work, we extend the previous discussions to the $D$-dimensional case($D\geq7$) and find that the same conclusion holds in arbitrary higherdimensional case.

No black hole bomb for $D$-dimensional non-extremal Reissner-Nordstrom black holes against charged massive scalar perturbation