Quasinormal modes of black holes in 5D GaussBonnet gravity combined with nonlinear electrodynamics
Abstract
Quasinormal modes of black holes were previously calculated in a nonlinear electrodynamics and in the GaussBonnet gravity theory. Here we take into consideration both of the above factors and find quasinormal modes of a (massive) scalar field in the background of a black hole in the fivedimensional EinsteinGaussBonnet gravity coupled to a nonlinear electrodynamics having Maxwellian weakfield limit. For the nonlinear electrodynamics we considered the high frequency (eikonal) regime of oscillations analytically, while for the lower multipoles the higher order WKB analysis with the help of Padé approximants and the time domain integration were used. We found that perturbations of a test scalar field violate the inequality between the damping rate of the least damped mode and the Hawking temperature, known as the Hod's proposal. This does not exclude the situation in which gravitational spectrum may restore the Hod's inequality, so that only the analysis of the full spectrum, including gravitational perturbations, will show if the quasinormal modes we found here for the scalar field can be a counterexample to the Hod's conjecture or not. We also revealed that in such a system, which includes the higher curvature corrections and nonlinear electrodynamics, for perturbations of a massive scalar field there exists the phenomenon of the arbitrary long lived quasinormal modes  quasiresonances.
 Publication:

Annals of Physics
 Pub Date:
 July 2020
 DOI:
 10.1016/j.aop.2020.168181
 arXiv:
 arXiv:1910.12660
 Bibcode:
 2020AnPhy.41868181C
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 10 pages, 9 figures, revtex41