Closed-form expressions for the worldlines of spinning particles in plane gravitational wave backgrounds are obtained as single integrals over retarded time by exploiting six conserved quantities from translational Killing symmetries.
Gyroscopes and gravitational waves.Classical and Quantum Gravity, 17(22):4627– 4635, November 2000
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Analytic Solution for the Motion of Spinning Particles in Plane Gravitational Wave Spacetime
Closed-form expressions for the worldlines of spinning particles in plane gravitational wave backgrounds are obtained as single integrals over retarded time by exploiting six conserved quantities from translational Killing symmetries.