Timescales of the chaos onset in the general relativistic Poynting-Robertson effect

Abstract

It has been proved that the general relativistic Poynting-Robertson effect in the equatorial plane of Kerr metric shows a chaotic behavior for a suitable range of parameters. As a further step, we calculate the timescale for the onset of chaos through the Lyapunov exponents, estimating how this trend impacts on the observational dynamics. We conclude our analyses with a discussion on the possibility to observe this phenomenon in neutron star and black hole astrophysical sources.

arXiv comment11 pages; 4 figures; 3 tables; accepted for publication on PRD

References in corpus (37)

• Modelling the behaviour of accretion flows in X-ray binaries
• Sonic-Point Model of Kilohertz Quasi-Periodic Brightness Oscillations in Low-Mass X-ray Binaries
• Chaotic cold accretion onto black holes
• Accretion Disk Boundary Layers Around Neutron Stars: X-ray Production in Low-Mass X-ray Binaries
• The mass of the neutron star in Vela X-1 and tidally induced non-radial oscillations in GP Vel
• On the size and location of the X-ray emitting coronae around black holes
• Testing wormhole solutions in extended gravity through the Poynting-Robertson effect
• General relativistic Poynting-Robertson effect to diagnose wormholes existence: static and spherically symmetric case
• AGN Flickering and Chaotic Accretion
• The Evolution of the Accretion Disk around 4U 1820-30 During a Superburst
• Boundary between Stable and Unstable Regimes of Accretion. Ordered and Chaotic Unstable Regimes
• Lyapunov timescales and black hole binaries
• NuSTAR Observations of the Accreting Atolls GX 3+1, 4U 1702-429, 4U 0614+091, and 4U 1746-371
• The general relativistic Poynting-Robertson effect
• Spin period evolution of GX 1+4
• NICER Observes the Effects of an X-Ray Burst on the Accretion Environment in Aql X-1
• Chaos and Gravitational Waves
• X-Raying an Accretion Disk in Realtime: the Evolution of Ionized Reflection during a Superburst from 4U 1636-536
• Characterizing the Evolving X-Ray Spectral Features During a Superburst from 4U 1636-536
• The general relativistic Poynting-Robertson effect. II: A photon flux with nonzero angular momentum
• Chaotic and stochastic processes in the accretion flows of the black hole X-ray binaries revealed by recurrence analysis
• Lagrangian formulation of the general relativistic Poynting-Robertson effect
• Comptonization in the vicinity of black hole horizon
• The three-dimensional general relativistic Poynting-Robertson effect I: radial radiation field
• Oscillations of the Eddington Capture Sphere
• Stable, levitating, optically thin atmospheres of Eddington-luminosity neutron stars
• Optically thin outbursts of rotating neutron stars can not be spherical
• Three-dimensional general relativistic Poynting-Robertson effect II: Radiation field from a rigidly rotating spherical source
• Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane
• Analytical Rayleigh potential for the general relativistic Poynting-Robertson effect
• Radiation drag in the field of a non-spherical source
• Three-dimensional general relativistic Poynting-Robertson effect. III. Static and non-spherical quadrupolar massive source
• Stable attractors in the three-dimensional general relativistic Poynting-Robertson effect
• Atmospheric oscillations provide simultaneous measurement of neutron star mass and radius
• Poynting-Robertson effect as a dissipative system in general relativity
• Three-dimensional general relativistic Poynting-Robertson effect. IV. Slowly rotating and non-spherical quadrupolar massive source
• A Shining Death of Unequal Supermassive Black Hole Binaries

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