Publication date: Apr 2018
The electromagnetic (EM) perturbations of the black hole solutions in
general relativity coupled to nonlinear electrodynamics (NED) are
studied for both electrically and magnetically charged black holes,
assuming that the EM perturbations do not alter the spacetime geometry.
It is shown that the effective potentials of the electrically and
magnetically charged black holes related to test perturbative NED EM
fields are related to the effective metric governing the photon motion,
contrary to the effective potential of the linear electrodynamic
(Maxwell) field that is related to the spacetime metric. Consequently,
corresponding quasinormal (QN) frequencies differ as well. As a special
case, we study new family of the NED black hole solutions which tend in
the weak field limit to the Maxwell field, giving the Reissner-Nordström
(RN) black hole solution. We compare the NED Maxwellian black hole QN
spectra with the RN black hole QN spectra.
Toshmatov, Bobir; Stuchlík, Zdeněk; Schee, Jan; Ahmedov, Bobomurat;