The anomalous decay rate of the quasinormal modes occurs when the longest-lived modes are the ones with a higher angular number. Such behavior has been recently studied in different static spacetimes for scalar and fermionic perturbations, being observed in both cases. In this work, we extend the existent studies to the charged spacetimes—namely, the Reissner-Nordström, the Reissner-Nordström de Sitter, and the Reissner-Nordström anti–de Sitter black holes. We show that the anomalous decay rate behavior of the scalar field perturbations is present for every charged geometry in the photon sphere modes, with the existence of a critical scalar field mass whenever $\mathrm{\Lambda }\ge 0$. In general, this critical value of mass increases with the raising of the black hole charge, thus rendering a minimum in the Schwarzschild limit. We also study the dominant mode/family for the massless and massive scalar fields in these geometries, showing a nontrivial dominance of the spectra that depends on the black hole mass and charge.

• Received 9 December 2020
• Accepted 2 February 2021

DOI:https://doi.org/10.1103/PhysRevD.103.064005