2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36541These notes address the planar gravitational wave solutions of general relativity in empty space-time, and analyze the motion of test particles in the gravitational wave field. Next we consider related solutions of the Einstein equations for the gravitational field accompanied by long-range wave fields of scalar, spinor and vector type, corresponding to particles of spin s=(0,1/2,1). The motion of test masses in the combined gravitational and scalar, spinor or vector wave fields is discussed.10 pages, no figures, Contr. to Proceedings XXXVth Karpacz Winterschool of Theoretical Physics; update: typos correctedGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext