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Abstract: The investigation of the transverse effect of gravitational waves GWs couldconstitute a further tool to discriminate among several relativistic theoriesof gravity on the ground. After a review of the TT gauge, the transverse effectof GWs arising by standard general relativity called Einstein-s GWs in thispaper is reanalized with a different choice of coordinates. In the chosengauge test masses have an apparent motion in the direction of propagation ofthe wave, while in the transverse direction they appear at rest. Of course,this is only a gauge artefact. In fact, from careful investigation of thisparticular gauge, it is shown that the tidal forces associated with GWs actalong the directions orthogonal to the direction of propagation of waves. Inthe analysis it is also shown, in a heuristic way, that the transverse effectof Einstein-s GWs arises from the propagation of the waves at the speed of thelight, thus only massless GWs are purely transverse. But, because the physicsof gravitational waves has to be investigated by studing the tidal forces asappearing in the geodesic deviation equation and directly in a laboratoryenvironment on Earth, an analysis of these tidal forces and of the transverseeffect in the frame of the local observer is also performed. After this, for afurther better understanding of the transverse effect, an example of a wave,which arises from scalar tensor gravity, with both transverse and genuinelylongitudinal modes is given and discussed. In the example the connectionbetween the longitudinal component and the velocity of the wave will bemathematical shown.At the end of this paper the review of the TT gauge is completed, recoveringthe gauge invariance between the presented gauge and the TT one.

Autor: Christian Corda


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