Parametric phenomena of the particle dynamics in a periodic gravitational wave field

TL;DR

This paper develops exactly solvable models for various particles in a gravitational wave background, highlighting parametric effects like instabilities and oscillations in their motion and internal degrees of freedom.

Contribution

It introduces new solvable models for particles with different symmetries in gravitational waves, focusing on parametric phenomena and instabilities.

Findings

Identification of parametric instabilities in particle motion

Demonstration of parametric oscillations of spin, isospin, and color charge vectors

Exact solutions for particle dynamics in gravitational wave backgrounds

Abstract

We establish exactly solvable models for the motion of neutral particles, electrically charged point and spin particles (U(1) symmetry), isospin particles (SU(2) symmetry), and particles with color charges (SU(3) symmetry) in a gravitational wave background. Special attention is devoted to parametric effects induced by the gravitational field. In particular, we discuss parametric instabilities of the particle motion and parametric oscillations of the vectors of spin, isospin, and color charge.