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.

11 pages; 4 figures; 3 tables; accepted for publication on PRD

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• Benchmarking quantum chaos from geometric complexity
• Chaotic dynamics of off-equatorial orbits around pseudo-Newtonian compact objects with dipolar halos