Relativistic effects of a gravitational wave interference in the background of the gravitational waves

J. M. M. Carlin, F. M. C. Gomes, W. H. T. Vitor Damel
Comments: 5 pages, 3 figures, no figure. v2: minor changes; v3: minor changes

We construct relativistic effects of gravitational waves interference in the background of a gravitational wave. This is shown to be equivalent to the standard relativistic effects of the gravitational waves in the presence of a gravitational wave.