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.
Analytic Solutions for the Motion of Spinning Particles near Spherically Symmetric Black Holes and Exotic Compact Objects.Physical Review Letters, 132(17):171401, April 2024
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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.