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

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 uncharged scalar and fermionic perturbations, being observed in both cases. In this work we consider the propagation of charged massive scalar fields in the background of Reissner-Nordström-de Sitter black holes and we mainly study the effect of the scalar field charge in the spectrum of quasinormal frequencies, as well as, its effect on the anomalous decay rate. Mainly, we show that the anomalous behaviour is present for massive charged scalar fields as well, and a critical value of scalar field mass exists, beyond which the behaviour is inverted. However, there is also a critical value of the parameter qQ of the charge of the scalar field and of the charge of the black hole, which increases when the cosmological constant increases, and beyond the critical value the anomalous behaviour of the decay rate could be avoided for the fundamental mode.

Quasinormal modes of black holes in f(T) gravity

“…This feature has lead the search and analysis of QNM to be an important subject in the gravitationalwave literature. Hence, one can use gravitational-wave observations in order to test general relativity, examining for instance the validity of the "no-hair theorem" [74][75][76], and use the predictions of QNM properties to constrain and classify modified gravity theories [77][78][79][80][81][82][83][84][85]. Furthermore, the QNM frequency can also partly reveal the stability of spacetime geometry under small perturbations [86,87].…”

Massive scalar field perturbations of black holes immersed in Chaplygin-like dark fluid

“…However, it was shown that the critical mass exist for asymptotically flat and for asymptotically dS spacetimes and it is not present in asymptotically AdS spacetimes for large and intermediate BHs. This behaviour has been extensively studied for scalar fields [33][34][35][36][37][38][39][40][41][42] as well as charged scalar fields [43,44] and fermionic fields [45], in BH spacetimes. The anomalous decay in accelerating black holes was studied in [46].…”

Quasinormal modes of a charged scalar field in Ernst black holes

“…And for a scalar field mass greater than the critical mass, the behavior is inverted: the longest-lived modes are always those with the lowest angular number recovering the standard behavior. The critical mass corresponds to the value of the scalar field mass where the behavior of the decay rate of the QNMs is inverted and can be obtained from the condition Im(ω) = Im(ω) +1 in the eikonal limit, that is, when → ∞, and this behavior has been studied in different black hole geometries including Schwarzschild, Schwarzschild-(A)dS, Reissner-Nordström, black hole in f (R) gravity, for scalar and Dirac fields [30][31][32][33][34][35], and Bronnikov-Ellis and Morris-Thorne wormhole geometries [36]. Also, the existence of a critical scalar field charge for a Reissner-Nordström dS black hole was shown [35].…”