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We investigate the gravitational memory effect for linearized perturbationsoff of Minkowski space in odd spacetime dimensions $d$ by examining the effectsof gravitational radiation from classical point particle scattering. We alsoinvestigate analogous memory effects for electromagnetic and scalar radiation.We find that there is no gravitational memory effect in all odd dimensions. Forscalar and electromagnetic fields, there is no memory effect for $d\geq 7$; for$d=3$ there is an infinite momentum memory effect, whereas for $d=5$ there isno momentum memory effect but the displacement of a test particle will growunboundedly with time. Our results are further elucidated by analyzing thememory effect for any slowly moving source of compact spatial support in odddimensions.

Memory Effect for Particle Scattering in Odd Spacetime Dimensions