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We consider the action of exact plane gravitational waves, or pp-waves, onfree particles. The analysis is carried out by investigating the variations ofthe geodesic trajectories of the particles, before and after the passage of thewave. The initial velocities of the particles are non-vanishing. We evaluatenumerically the Kinetic energy per unit mass of the free particles, and obtaininteresting, quasi-periodic behaviour of the variations of the Kinetic energywith respect to the width $\lambda$ of the gaussian that represents the wave.The variation of the energy of the free particle is expected to be exactlyminus the variation of the energy of the gravitational field, and thereforeprovides an estimation of the local variation of the gravitational energy. Theinvestigation is carried out in the context of short bursts of gravitationalwaves, and of waves described by normalised gaussians, that yield impulsivewaves in a certain limit.

Variations of the Energy of Free Particles in the pp-Wave Spacetimes