Calculus of Variations and Geometric Measure Theory
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W. Borrelli - V. De Falco

Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane

created by borrelli on 12 Feb 2021

[BibTeX]

Accepted Paper

Inserted: 12 feb 2021

Journal: Phys. Rev. D
Year: 2021

ArXiv: 2001.04979 PDF

Abstract:

The general relativistic Poynting-Robertson effect is a dissipative and non-linear dynamical system obtained by perturbing through radiation processes the geodesic motion of test particles orbiting around a spinning compact object, described by the Kerr metric. Using the Melnikov method we find that, in a suitable range of parameters, chaotic behavior is present in the motion of a test particle driven by the Poynting-Robertson effect in the Kerr equatorial plane.

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