Relativistic Dynamics of Vector Bosons in the Field of Gravitational Radiation

TL;DR

This paper models the evolution of relativistic vector bosons in a gravitational wave field, incorporating tidal forces and polarization effects, with exact solutions revealing birefringence and deviations from geodesic motion.

Contribution

It introduces a comprehensive model including tidal forces and polarization dynamics for vector bosons in gravitational waves, providing exact solutions and analyzing birefringence effects.

Findings

Exact solutions for vector boson evolution equations

Identification of birefringence effects in gravitational fields

Demonstration of tidal deviations from geodesic motion

Abstract

We consider a model of the state evolution of relativistic vector bosons, which includes both the dynamical equations for the particle four-velocity and the equations for the polarization four-vector evolution in the field of a nonlinear plane gravitational wave. In addition to the gravitational minimal coupling, tidal forces linear in curvature tensor are suggested to drive the particle state evolution. The exact solutions of the evolutionary equations are obtained. Birefringence and tidal deviations from the geodesic motion are discussed.