Acceleration and Cyclotron Radiation, Induced by Gravitational Waves

TL;DR

This paper derives equations describing how charged particles in magnetic fields respond to gravitational waves, exploring resonance effects that could inform models of gravitational wave-driven cyclotron emission.

Contribution

It introduces new formulas for particle response to gravitational waves in magnetic fields, highlighting resonance phenomena at specific frequencies.

Findings

Resonance occurs at rac{A6}{2} when GW is parallel to magnetic field.

Magnetic resonances at rac{A6}{A9} and A6A9 for perpendicular GW.

Potential application in modeling GW-driven cyclotron emitters.

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.