Acceleration and Cyclotron Radiation, Induced by Gravitational Waves

Abstract

The equations which determine the response of a charged particle moving in a magnetic field to an incident gravitational wave(GW) are derived in the linearized approximation to general relativity. We briefly discuss several astrophysical applications of the derived formulae taking into account the resonance between the wave and the particle's motion which occurs at ${\omega }_g=2\Omega$, whenever the GW is parallel to the constant magnetic field. In the case where the GW is perpendicular to the constant magnetic field, magnetic resonances appear at ${\omega }_g=\Omega$ and ${\omega }_g=2\Omega$. Such resonant mechanism may be useful to build models of GW driven cyclotron emitters.

16 pages, 1 figure, accepted for publication in Astronomy & Astrophysics

References in corpus (2)

• Magnetic tension and the geometry of the universe
• Cyclotron damping and Faraday rotation of gravitational waves

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• Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves
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• Primordial Gravitational Waves and Rescattered Electromagnetic Radiation in the Cosmic Microwave Background