Impact of electric charges on chaos in magnetized spacetimes
arXiv:2305.02702 · doi:10.1140/epjc/s10052-023-11551-6
Abstract
We consider the motion of test particles around a black hole immersed into a strong external magnetic field modifying the spacetime structure. When the particles are neutral, their dynamics are nonintegrable because the magnetic field acts as a gravitational effect, which destroys the existence of a fourth motion constant in the spacetime. A time-transformed explicit symplectic integrator is used to show that the motion of neutral particles can be chaotic under some circumstances. When test particles have electric charges, their motions are subject to an electromagnetic field surrounding the black hole as well as the gravitational forces from the black hole and the magnetic field. It is found that increasing both the magnetic field and the particle energy or decreasing the particle angular momentum can strengthen the degree of chaos regardless of whether the particles are neutral or charged. The effect of varying the black hole positive charge on the dynamical transition from order to chaos is associated with the electric charges of particles. The dynamical transition of neutral particles has no sensitive dependence on a change of the black hole charge. An increase of the black hole charge weakens the chaoticity of positive charged particles, whereas enhances the chaoticity of negative charged particles. With the magnitude of particle charge increasing, chaos always gets stronger.
arXiv comment16 pages, 11 figures
References in corpus (37)
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- A strong magnetic field around the supermassive black hole at the centre of the Galaxy
- The magnetic nature of disk accretion onto black holes
- Circular orbits and related quasi-harmonic oscillatory motion of charged particles around weakly magnetized rotating black holes
- Acceleration of charged particles due to chaotic scattering in the combined black hole gravitational field and asymptotically uniform magnetic field
- Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects
- Supermassive black holes as possible sources of ultra high energy cosmic rays
- Computation of Lyapunov Exponents in General Relativity
- Chaotic motion of Charged Particles in an Electromagnetic Field Surrounding a Rotating Black Hole
- Shadows and lensing of black holes immersed in strong magnetic fields
- Charged particle motion in Kerr-Newmann space-times
- Determination of chaotic behaviour in time series generated by charged particle motion around magnetized Schwarzschild black holes
- The non-integrability of the Zipoy-Voorhees metric
- Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
- Construction of Explicit Symplectic Integrators in General Relativity. I. Schwarzschild Black Holes
- Construction of explicit symplectic integrators in general relativity. II. Reissner-Nordstrom black holes
- On post-Newtonian orbits and the Galactic-center stars
- Construction of explicit symplectic integrators in general relativity. IV. Kerr black holes
- Inducing chaos by breaking axial symmetry in a black hole magnetosphere
- Construction of explicit symplectic integrators in general relativity. III. Reissner-Nordstrom-(anti)-de Sitter black holes
- Radiative Penrose process: Energy Gain by a Single Radiating Charged Particle in the Ergosphere of Rotating Black Hole
- Generalized, energy-conserving numerical simulations of particles in general relativity. I. Time-like and null geodesics
- Near-horizon structure of escape zones of electrically charged particles around weakly magnetized rotating black hole
- Generalized, energy-conserving numerical simulations of particles in general relativity. II. Test particles in electromagnetic fields and GRMHD
- Chaotic dynamics around astrophysical objects with nonisotropic stresses
- A Symmetric Integrator for non-integrable Hamiltonian Relativistic Systems
- Applying explicit symplectic integrator to study chaos of charged particles around magnetized Kerr black hole
- A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
- Explicit symplectic methods in black hole spacetimes
- Dynamics of charged particles moving around Kerr black hole with inductive charge and external magnetic field
- Chaos in a Magnetized Modified Gravity Schwarzschild Spacetime
- Charged particle motions near non-Schwarzschild black holes with external magnetic fields in modified theories of gravity
- Equivalence between two charged black holes in dynamics of orbits outside the event horizons
- Energy-conserving integrator for conservative Hamiltonian systems with ten-dimensional phase space
- Black holes, stationary clouds and magnetic fields
- Adjustment of force-gradient operator in symplectic methods
- Study of chaos in rotating galaxies using extended force-gradient symplectic methods