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.
Spinning test body orbiting around a Kerr black hole: Eccen- tric equatorial orbits and their asymptotic gravitational-wave fluxes.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.