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In the present work we analize the behavior of 5-dimensional gravitationalwaves propagating on a Kaluza-Klein background and we face separately the twocases in which respectively the waves are generated before and after theprocess of dimensional compactification. We show that if the waves areoriginated on a 5-d space-time which fulfills the principle of generalrelativity, then the process of compactification can not reduce the dynamics tothe pure 4-dimensional scalar, vector and tensor degrees of freedom. Inparticular, while the electromagnetic waves evolve independently, the scalarand tensor fields couple to each other; this feature appears because, when thegauge conditions are splitted, the presence of the scalar ripple prevents thatthe 4-d gravitational waves are traceless. The phenomenological issue of thisscheme consists of an anomalous relative amplitude of the two independentpolarizations which characterize the 4-d gravitational waves. Such profile ofpolarization amplitudes, if detected, would outline the extra-dimension in avery reliable way, because a wave with non-zero trace can not arise fromordinary matter sources. We discuss the above mentioned phenomenon either inthe case of a unit constant value of the background scalar component (when thegeodesic deviation is treated with precise outputs), and assuming suchbackground field as a dynamical degree (only qualitative conclusion areprovided here, because the details of the polarization amplitudes depend on thechoice of specific metric forms). Finally we perturb a real Kaluza-Klein theoryshowing that in this context, while the electromagnetic waves propagateindependently, the 4-d gravitational waves preserve their ordinary structure,while the scalar plays for them the role of source.Comment: 21 pages, 2 figures, to appear on Int. Journ. Mod. Phys.

PHENOMENOLOGY FOR AN EXTRA DIMENSION FROM GRAVITATIONAL WAVES PROPAGATION ON A KALUZA–KLEIN SPACE–TIME