Anomalous decay rate of quasinormal modes in Reissner-Nordström black holes

Abstract

The anomalous decay rate of the quasinormal modes occurs when the longest-lived modes are the ones with higher angular number. Such behaviour 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 behaviour 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 Λ ≥ 0. We also study the dominant mode/family for massless and massive scalar field in these geometries.

Quasinormal modes for a non-minimally coupled scalar field in a five-dimensional Einstein-power-Maxwell background

“…The color codes is as above. Now, in order to visualize the effect of the angular number l on the QNFs, we show in Tables 1 and 2 the QNFs for k = 0.75, and k = 1.50, respectively, and different values of ξ, and l. We can observe that the longest-lived modes are the ones with higher angular number for massless scalar field, according with other spacetimes, see [57][58][59][60]. Also, we show Table 1 the QNFs via the WKB and the pseudospectral Chebyshev methods in order to check both methods.…”

“…An partial and incomplete list is, for instance: [34][35][36][37][38][39], and for more recent works [40][41][42][43][44][45][46][47][48][49][50], and references therein. Also, we use the pseu-dospectral Chebyshev method [51], which is an effective method to find high overtone modes and have been successful applied to some spacetimes [52][53][54][55][56][57][58][59][60].…”

Quasinormal modes for massive charged scalar fields in Reissner-Nordström dS black holes: anomalous decay rate

“…The anomalous decay rate of the QNMs was also studied in charged spacetimes, in the presence of Reissner-Nordström-dS (RNdS) and Reissner-Nordström-AdS (RNAdS) black holes. It was shown in [22] that the anomalous decay rate behaviour 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 Λ ≥ 0. In general, this critical value of mass increases with the raise of the black hole charge.…”

Scalar quasinormal modes for 2+1-dimensional Coulomb like AdS black holes from non lineal electrodynamics

“…Also, we can observe that when the scalar field mass increases the frequency of the oscillation decreases, and the decay rate increases, see Table IV, where, we have considered the fundamental QNFs (n = 0). On the other hand, note that the longest-lived modes are the ones with smallest angular number, contrary to Schwarzschild-AdS and Reissner-Nordström-AdS spacetimes where appear an anomalous behaviour of the decay rate, i.e the longest-lived modes are the ones with higher angular number for small values of the scalar field mass [12,15]. In this context one could say the anomalous behavior of the decay rate depend on dimension of the spacetime, being it possible for spacetime with dimensions greater than three.…”

“…In this work, we consider (2 + 1)-dimensional Coulomb like AdS black holes as background, and we study the stability of the propagation of a scalar field in order to study the effects of the black hole charge on the propagation of neutral scalar fields, by using the pseudospectral Chebyshev method [8], which is an effective method to find high overtone modes [9][10][11][12][13][14][15][16]. It is worth mentioning that nonlinear field theories are of interest to different branches of mathematical physics because most physical systems are inherently nonlinear in nature.…”