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.
Higher order analysis of the gravitational wave velocity memory effect between two free-falling gyroscopes in the plane wave spacetime.Phys
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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.