Chaos and dynamics of spinning particles in Kerr spacetime
arXiv:1006.2229 · doi:10.1007/s10714-007-0598-9
Abstract
We study chaos dynamics of spinning particles in Kerr spacetime of rotating black holes use the Papapetrou equations by numerical integration. Because of spin, this system exists many chaos solutions, and exhibits some exceptional dynamic character. We investigate the relations between the orbits chaos and the spin magnitude S, pericenter, polar angle and Kerr rotation parameter a by means of a kind of brand new Fast Lyapulov Indicator (FLI) which is defined in general relativity. The classical definition of Lyapulov exponent (LE) perhaps fails in curve spacetime. And we emphasize that the Poincaré sections cannot be used to detect chaos for this case. Via calculations, some new interesting conclusions are found: though chaos is easier to emerge with bigger S, but not always depends on S monotonically; the Kerr parameter a has a contrary action on the chaos occurrence. Furthermore, the spin of particles can destroy the symmetry of the orbits about the equatorial plane. And for some special initial conditions, the orbits have equilibrium points.
17 pages, 12 figures
References in corpus (1)
Cited by in corpus (48)
- Presence of horizon makes particle motion chaotic
- Dynamics of test particles around a Bardeen black hole surrounded by perfect fluid dark matter
- Spinning test particles in the spacetime
- Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
- Free motion around black holes with discs or rings: between integrability and chaos - I
- Can the dynamics of test particles around charged stringy black holes mimic the spin of Kerr black holes?
- Test particle motion around black hole in Einstein-Maxwell-scalar theory
- Gravitational Radiations from a Spinning Compact Object around a supermassive Kerr black hole in circular orbit
- Dynamics of test particles around renormalization group improved Schwarzschild black holes
- Innermost stable circular orbit of spinning particle in charged spinning black hole background
- Free motion around black holes with discs or rings: between integrability and chaos - III
- Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole
- Characterization of the gravitational wave emission of three black holes
- Bounds on spinning particles in their innermost stable circular orbits around rotating braneworld black hole
- Mathisson-Papapetrou-Dixon equations in the Schwarzschild and Kerr backgrounds
- Dynamics of charged particles and magnetic dipoles around magnetized quasi-Schwarzschild black holes
- Induction of chaotic fluctuations in particle dynamics in a uniformly accelerated frame
- The dynamics of a spinning particle in a linear in spin Hamiltonian approximation
- Spinning test body orbiting around a Schwarzschild black hole: Comparing Spin Supplementary Conditions for Circular Equatorial Orbits
- Motion of spinning particles around black hole in a dark matter halo
- Stability and chaos of hierarchical three black hole configurations
- Highly relativistic spinning particle in the Schwarzschild field: Circular and other orbits
- Spinning particles in vacuum spacetimes of different curvature types
- Adjusting chaotic indicators to curved spacetimes
- Revised research about chaotic dynamics in Manko et al. spacetime
- Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
- Dynamics of extended bodies with spin-induced quadrupole in Kerr spacetime: generic orbits
- Bound on Lyapunov exponent in Kerr-Newman-de Sitter black holes by a charged particle
- Oblique magnetic fields and the role of frame dragging near rotating black hole
- Off-equatorial stable circular orbits for spinning particles
- Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole
- Spinning particle orbits around a black hole in an expanding background
- Motion of Spinning Particles around Electrically Charged Black Hole in Eddington-inspired Born-Infeld Gravity
- Motion of spinning particles around a polymer black hole in loop quantum gravity
- On the integrability of extended test body dynamics around black holes
- Spinning Particle in Gravitational Field of Black Hole Involving Global Monopole
- Near-horizon chaos beyond Einstein gravity
- Circular motion of particle around Schwarzschild-MOG black hole
- Resonant Islands of Effective-One-Body Dynamics
- Comment on "Chaotic orbits for spinning particles in Schwarzschild spacetime"
- Exotic orbits due to spin-spin coupling around Kerr black holes
- Post-Minkowskian solution for the small-deflection motion of test particles in Kerr-Newman spacetime
- Saturation of Chaos Bound in a Phenomenological Rotating Black Hole--Effective Matter System at Low-Temperature Limit
- Spin dynamics of moving bodies in rotating black hole spacetimes
- Chaotic Dynamics in Extremal Black Holes: A Challenge to the Chaos Bound
- On geodesic dynamics in deformed black-hole fields
- Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle
- Charged particle motion around a magnetized Reissner-Nordström black hole