Interaction of charged particles with gravitational waves of various polarizations and directions of propagation

Astronomy and Astrophysics – Astrophysics

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Gravitation, Acceleration Of Particles

Scientific paper

The interaction of a charged particle, moving in a uniform magnetic field, with a gravitational wave is considered for two types of wave polarization (linear and circular) and for an arbitrary direction of propagation, with respect to the magnetic field. It is found that, in the oblique and perpendicular propagation cases, the motion of the particle is chaotic. An asymptotic criterion is calculated, which determines, for both types of polarization, the stochasticity threshold in terms of the wave amplitude and frequency as well as the initial momentum of the particle. We also show that, under a resonant condition, we can find the exact solutions of the geodesics in the case of parallel propagation. The solutions are unbounded, leading to an "infinite" acceleration of the charged particle. The particle energisation through either the chaotic or the resonant interaction may lead to a damping of the gravitational wave in the interstellar space.

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