Bound chaotic photon orbits in a magnetized Kerr–Newman spacetime

Abstract Unlike those in the nonmagnetized counterpart, equatorial photon effective potentials outside the horizons allow for the existence of closed pockets or potential wells corresponding to local minimum values in a magnetized Kerr–Newman spacetime of Gibbons et al. There are three bound photon...

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Main Authors: Caiyu Liu, Daqi Yang, Xin Wu
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13776-z
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author Caiyu Liu
Daqi Yang
Xin Wu
author_facet Caiyu Liu
Daqi Yang
Xin Wu
author_sort Caiyu Liu
collection DOAJ
description Abstract Unlike those in the nonmagnetized counterpart, equatorial photon effective potentials outside the horizons allow for the existence of closed pockets or potential wells corresponding to local minimum values in a magnetized Kerr–Newman spacetime of Gibbons et al. There are three bound photon orbits, which neither fall into the black hole nor escape to infinity. They are stable circular orbits, bound quasiperiodic orbits and bound chaotic orbits. The stable circular photon orbits and bound quasiperiodic photon orbits are allowed on and outside the equatorial plane, but the bound chaotic photon orbits are only allowed outside the equatorial plane. On the other hand, the photon effective potentials have potential barriers with local maximum values in the magnetized case, similar to those in the nonmagnetized case. This fact means the existence of three other photon orbits, which include the photons falling to the center, scattering to infinity and unstably circling in the center. They are not necessarily restricted to the equatorial plane, either. The six types of photon orbits are confirmed numerically via an explicit symplectic integrator and the techniques of fast Lyapunov indicators and 0–1 test correlation method. In particular, a number of bound quasiperiodic photon orbits and bound chaotic photon orbits are found. The method for finding these six types of photon orbits in the phase space will also be used as a new ray-tracing method to find the corresponding six regions on the observer’s plane and to obtain black hole shadows.
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spelling doaj-art-84187dad8dd54cfaac742aa94674982f2025-02-02T12:38:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111910.1140/epjc/s10052-025-13776-zBound chaotic photon orbits in a magnetized Kerr–Newman spacetimeCaiyu Liu0Daqi Yang1Xin Wu2School of Mathematics, Physics and Statistics, Shanghai University of Engineering ScienceSchool of Mathematics, Physics and Statistics, Shanghai University of Engineering ScienceSchool of Mathematics, Physics and Statistics, Shanghai University of Engineering ScienceAbstract Unlike those in the nonmagnetized counterpart, equatorial photon effective potentials outside the horizons allow for the existence of closed pockets or potential wells corresponding to local minimum values in a magnetized Kerr–Newman spacetime of Gibbons et al. There are three bound photon orbits, which neither fall into the black hole nor escape to infinity. They are stable circular orbits, bound quasiperiodic orbits and bound chaotic orbits. The stable circular photon orbits and bound quasiperiodic photon orbits are allowed on and outside the equatorial plane, but the bound chaotic photon orbits are only allowed outside the equatorial plane. On the other hand, the photon effective potentials have potential barriers with local maximum values in the magnetized case, similar to those in the nonmagnetized case. This fact means the existence of three other photon orbits, which include the photons falling to the center, scattering to infinity and unstably circling in the center. They are not necessarily restricted to the equatorial plane, either. The six types of photon orbits are confirmed numerically via an explicit symplectic integrator and the techniques of fast Lyapunov indicators and 0–1 test correlation method. In particular, a number of bound quasiperiodic photon orbits and bound chaotic photon orbits are found. The method for finding these six types of photon orbits in the phase space will also be used as a new ray-tracing method to find the corresponding six regions on the observer’s plane and to obtain black hole shadows.https://doi.org/10.1140/epjc/s10052-025-13776-z
spellingShingle Caiyu Liu
Daqi Yang
Xin Wu
Bound chaotic photon orbits in a magnetized Kerr–Newman spacetime
European Physical Journal C: Particles and Fields
title Bound chaotic photon orbits in a magnetized Kerr–Newman spacetime
title_full Bound chaotic photon orbits in a magnetized Kerr–Newman spacetime
title_fullStr Bound chaotic photon orbits in a magnetized Kerr–Newman spacetime
title_full_unstemmed Bound chaotic photon orbits in a magnetized Kerr–Newman spacetime
title_short Bound chaotic photon orbits in a magnetized Kerr–Newman spacetime
title_sort bound chaotic photon orbits in a magnetized kerr newman spacetime
url https://doi.org/10.1140/epjc/s10052-025-13776-z
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AT daqiyang boundchaoticphotonorbitsinamagnetizedkerrnewmanspacetime
AT xinwu boundchaoticphotonorbitsinamagnetizedkerrnewmanspacetime