Abstract
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.
| Original language | English |
|---|---|
| Article number | 064043 |
| Journal | Physical Review D |
| Volume | 99 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Mar 15 2019 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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Relaxations of perturbations of spacetimes in general relativity coupled to nonlinear electrodynamics. / Toshmatov, Bobir; Stuchlík, Zdeněk; Ahmedov, Bobomurat; Malafarina, Daniele.
In: Physical Review D, Vol. 99, No. 6, 064043, 15.03.2019.Research output: Contribution to journal › Article
}
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
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
VL - 99
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 6
M1 - 064043
ER -