Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics

Abstract

We study quasinormal modes related to gravitational and electromagnetic perturbations of spherically symmetric charged black holes in nonlinear electrodynamics. Beyond the linear Maxwell electrodynamics, we consider a class of Lagrangian with higher-order corrections written by the electromagnetic field strength and its Hodge dual with arbitrary coefficients, and we parameterize the corrections for quasinormal frequencies in terms of the coefficients. It is confirmed that the isospectrality of quasinormal modes under parity is generally violated due to nonlinear electrodynamics. As applications, the corrections for quasinormal frequencies in Euler-Heisenberg and Born-Infeld electrodynamics are calculated, then it is clarified that the nonlinear effects act to lengthen the oscillation period and enhance the damping rate of the quasinormal modes.

Linear stability of vector Horndeski black holes

“…The sector (I) is composed of odd-parity gravitational perturbation χ 1 and even-parity vector-field perturbation V , whereas the sector (II) consists of odd-parity vector-field perturbation δA and even-parity gravitational perturbation χ 2 . Similar splitting also arises for perturbations of the magnetic BHs in Einstein-Maxwell theory with corrections from nonlinear electrodynamics [75,76]. In the following, we derive the linear stability conditions of BHs by separating the reduced Lagrangian (5.9) into two sectors.…”

“…There are several ways of breaking the electric-magnetic duality in generalized Einstein-Maxwell theories. One is to incorporate nonlinear functions of the electromagnetic field strength [75,76] like those appearing in Born-Infeld theory [77]. The other is to introduce electrically charged fields interacting with dyon BHs [78].…”

Novel charged black hole solutions of Born–Infeld type: General properties, Smarr formula and Quasinormal frequencies

“…One can mention for example the Frobenius method, the generalization of the Frobenius series, fit and interpolation approach, the method of continued fraction, although more methods are known to exist. For more details the interested reader may consult for instance [95], and for recent works [96][97][98] and references therein.…”

Introductory Notes on Non‐linear Electrodynamics and its Applications

“…For instance, NEDs coupled to gravity have been used to construct new black hole solutions and study their properties and stability (see e.g. [8-10, 12, 35, 77-95] and also [21,52,53,[96][97][98][99][100][101][102][103][104][105] for the latest developments and review), to create cosmological models (which might avoid initial Big-Bang singularities), [106,107] to mimic dark energy and generate an accelerated expansion of the universe, [108][109][110][111][112][113][114][115] as well as the context of AdS/CFT correspondence and gravity/CMT holography (see e.g. [14,[116][117][118][119][120][121][122] and [123] for a recent review and more references).…”