Quasi-harmonic oscillations of charged particles in static axially symmetric space-times immersed in a uniform magnetic field

Abstract

In continuation of our previous study [Phys. Rev. D 99 (2019) 4, 044012], we investigate the motion of charged particles in the $\gamma$-metric. We provide some examples of curled trajectories in the equatorial plane and escape trajectories outside the equatorial plane. Finally, we consider harmonic oscillations due to small displacements from stable circular orbits on the equatorial plane and compute the epicyclic frequencies for different values of deformation parameter and magnetic field.

arXiv comment19 pages, 10 figures. v2: fixed some typos

References in corpus (56)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Testing General Relativity with Present and Future Astrophysical Observations
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• A precise determination of angular momentum in the black hole candidate GRO J1655-40
• A strong magnetic field around the supermassive black hole at the centre of the Galaxy
• Correlations in the QPO Frequencies of Low Mass X-Ray Binaries and the Relativistic Precession Model
• Testing black hole candidates with electromagnetic radiation
• A New Simple Model for High Frequency Quasi Periodic Oscillations in Black Hole Candidates
• No-hair theorem for Black Holes in Astrophysical Environments
• 'Stable' QPOs and Black Hole Properties from Diskoseismology
• Motion of charged particles near weakly magnetized Schwarzschild black hole
• High-Frequency Quasi-Periodic Oscillations in black-hole binaries
• Acceleration of charged particles due to chaotic scattering in the combined black hole gravitational field and asymptotically uniform magnetic field
• Geodesically complete black holes
• Distinguishing black holes from naked singularities through their accretion disk properties
• Orbital resonances in discs around braneworld Kerr black holes
• Testing the Kerr black hole hypothesis using X-ray reflection spectroscopy
• Non-singular quantum-inspired gravitational collapse
• Circular geodesics and accretion disks in Janis-Newman-Winicour and Gamma metric
• Black hole mimicker hiding in the shadow: Optical properties of the $\gamma$-metric
• Bounds on the Compactness of Neutron Stars from Brightness Oscillations
• Classical collapse to black holes and quantum bounces: A review
• Confronting the models of 3:2 quasiperiodic oscillations with the rapid spin of the microquasar GRS 1915+105
• Probing the space-time geometry around black hole candidates with the resonance models for high-frequency QPOs and comparison with the continuum-fitting method
• Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects
• Testing general relativity with the reflection spectrum of the supermassive black hole in 1H0707$-$495
• Chaos in Static Axisymmetric Spacetimes I : Vacuum Case
• K$\alpha$ iron line profile from accretion disks around regular and singular exotic compact objects
• Spinning test particles in the $\gamma$ spacetime
• Motion of test particles in the field of a naked singularity
• Quasiperiodic oscillations in a strong gravitational field around neutron stars testing braneworld models
• Charged particle motion and electromagnetic field in $\gamma$ spacetime
• Towards precision tests of general relativity with black hole X-ray reflection spectroscopy
• The non-integrability of the Zipoy-Voorhees metric
• Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime
• Where does the physics of extreme gravitational collapse reside?
• Astronomical tests for quantum black hole structure
• Geodesics in the Gamma spacetime
• Inducing chaos by breaking axial symmetry in a black hole magnetosphere
• Non-spherical sources of static gravitational fields: investigating the boundaries of the no-hair theorem
• A model for a dark matter core at the galactic center
• The Levi-Civita spacetime as a limiting case of the Gamma spacetime
• Harmonic oscillations of neutral particles in the $\gamma$-metric
• General-relativistic constraints on the equation of state of dense matter implied by kilohertz quasi-periodic oscillations in neutron-star X-ray binaries
• Charged particle motion around a quasi-Kerr compact object immersed in an external magnetic field
• Epicyclic frequencies derived from the effective potential: simple and practical formulae
• Black supernovae and black holes in non-local gravity
• Exploring strong-field deviations from general relativity via gravitational waves
• Vacuum and nonvacuum black holes in a uniform magnetic field
• Measuring multipole moments of Weyl metrics by means of gyroscopes
• Magnetized accretion disks around Kerr black holes with scalar hair - I. Constant angular momentum disks
• A toy model for a baby universe inside a black hole
• Inner Accretion Disk Edges in a Kerr-Like Spacetime
• Observational properties of rigidly rotating dust configurations

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