Gravitational waves interacting with a spinning charged particle in the presence of a uniform magnetic field

TL;DR

This paper derives equations describing how a spinning charged particle in a uniform magnetic field responds to gravitational waves, revealing resonances caused by the interaction of the magnetic field, spin, and gravitational waves.

Contribution

It provides the first derivation of the response equations for a spinning charged particle in a magnetic field interacting with gravitational waves, highlighting resonance phenomena.

Findings

Resonances occur in the particle's momentum, velocity, and spin components.

Resonances depend on the coexistence of magnetic field and gravitational wave.

Without gravitational waves, magnetic resonances vanish.

Abstract

The equations which determine the response of a spinning charged particle moving in a uniform magnetic field to an incident gravitational wave are derived in the linearized approximation to general relativity. We verify that 1) the components of the 4-momentum, 4-velocity and the components of the spinning tensor, both electric and magnetic moments, exhibit resonances and 2) the co-existence of the uniform magnetic field and the GW are responsible for the resonances appearing in our equations. In the absence of the GW, the magnetic field and the components of the spin tensor decouple and the magnetic resonances disappear.