TY - JOUR
T1 - Relaxations of perturbations of spacetimes in general relativity coupled to nonlinear electrodynamics
AU - Toshmatov, Bobir
AU - Stuchlík, Zdeněk
AU - Ahmedov, Bobomurat
AU - Malafarina, Daniele
N1 - Funding Information:
This research was supported by the following grants: Czech Science Foundation GAČR Project No. 19-03950S; Nazarbayev University Faculty Development Competitive Research Grants: “Quantum gravity from outer space and the search for new extreme astrophysical phenomena”, Grant No. 090118FD5348 and by the Ministry of Education of Kazakhstan’s target program: “Center of Excellence for Fundamental and Applied Physics”, IRN: BR05236494; Uzbekistan Ministry for Innovation Development Grants No. VA-FA-F-2-008 and No. YFA-Ftech-2018-8, Abdus Salam ICTP through Grant No. OEA-NT-01 and grant between Silesian University in Opava and National University of Uzbekistan.
PY - 2019/3/15
Y1 - 2019/3/15
N2 - Three well-known exact regular solutions of general relativity coupled to nonlinear electrodynamics (NED), namely the Maxwellian, Bardeen, and Hayward regular spacetimes, which can describe either a regular black hole or a geometry without horizons, have been considered. Relaxation times for the scalar, electromagnetic (EM) and gravitational perturbations of black holes and no-horizon spacetimes have been estimated in comparison with the ones of the Schwarzschild and Reissner-Nordström spacetimes. It has been shown that the considered geometries in general relativity coupled to the NED have never-vanishing circular photon orbits, and on account of this fact, these spacetimes always oscillate the EM perturbations with quasinormal frequencies. Moreover, we have shown that the EM perturbations in the eikonal regime can be a powerful tool to confirm (i) that the light rays do not follow null geodesics in the NED by the relaxation rates and (ii) if the underlying solution has a correct weak field limit to the Maxwell electrodynamics by the angular velocity of the circular photon orbit.
AB - Three well-known exact regular solutions of general relativity coupled to nonlinear electrodynamics (NED), namely the Maxwellian, Bardeen, and Hayward regular spacetimes, which can describe either a regular black hole or a geometry without horizons, have been considered. Relaxation times for the scalar, electromagnetic (EM) and gravitational perturbations of black holes and no-horizon spacetimes have been estimated in comparison with the ones of the Schwarzschild and Reissner-Nordström spacetimes. It has been shown that the considered geometries in general relativity coupled to the NED have never-vanishing circular photon orbits, and on account of this fact, these spacetimes always oscillate the EM perturbations with quasinormal frequencies. Moreover, we have shown that the EM perturbations in the eikonal regime can be a powerful tool to confirm (i) that the light rays do not follow null geodesics in the NED by the relaxation rates and (ii) if the underlying solution has a correct weak field limit to the Maxwell electrodynamics by the angular velocity of the circular photon orbit.
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U2 - 10.1103/PhysRevD.99.064043
DO - 10.1103/PhysRevD.99.064043
M3 - Article
AN - SCOPUS:85064048000
VL - 99
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 6
M1 - 064043
ER -