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    Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics: Polar perturbations

    Zdeněk Stuchlík · Říjen 01, 2018 · Fyzika · 0 comments
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    Publication date: Oct 2018

    Abstract:
    The axial electromagnetic (EM) perturbations of the black hole (BH)
    solutions in general relativity coupled to nonlinear electrodynamics
    (NED) were studied for both electrically and magnetically charged BHs,
    assuming that the EM perturbations do not alter the spacetime geometry
    in our preceding paper [Phys. Rev. D 97, 084058 (2018),
    10.1103/PhysRevD.97.084058]. Here, as a continuation of that work, the
    formalism for the polar EM perturbations of the BHs in general
    relativity coupled to the NED is presented. We show that the quasinormal
    modes (QNMs) spectra of polar EM perturbations of the electrically and
    magnetically charged BHs in the NED are not isospectral, contrary to the
    case of the standard Reissner-Nordström BHs in the classical linear
    electrodynamics. It is shown by the detailed study of QNMs properties in
    the eikonal approximation that the EM perturbations can be a powerful
    tool to confirm that in the NED light ray does not follow the null
    geodesics of the spacetime. By specifying the NED model and comparing
    axial and polar EM perturbations of the electrically and magnetically
    charged BHs, it is shown that QNM spectra of the axial EM perturbations
    of magnetically (electrically) charged BH and polar EM perturbations of
    the electrically (magnetically) charged BH are isospectral, i.e.,
    ωmagax≈ωelpol
    (ωmagpol≈ωelax).

    Authors:
    Toshmatov, Bobir; Stuchlík, Zdeněk; Ahmedov, Bobomurat;

    https://ui.adsabs.harvard.edu/abs/2018PhRvD..98h5021T

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