The equations that 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 that occurs at omegag =2Omega , 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 omegag =Omega and omegag =2Omega . Such a resonant mechanism may be useful in building models of GW-driven cyclotron emitters.
Astronomy and Astrophysics
- Pub Date:
- December 2002
- gravitational waves;
- General Relativity and Quantum Cosmology
- 16 pages, 1 figure, accepted for publication in Astronomy &