## Advancements Over a Geometrodynamical Model

**Authors:** Sandro Antonelli

This article is mainly conceived to gain more interest into a recent trustworthy development. The dynamics of the relativistic Space-Time structure, as discussed in the model, exhibits unforeseen analogies with the electromagnetic theory. As direct continuation of the analysis of the gravitational wave propagation in free space, one should realize (unlike Lorentz gauge in General Relativity) that the polarization state is mixture of six independent modes as many as the independent components of the Riemann tensor determining the tidal forces, although one can always recover two polarizations for particular symmetry conditions on the direction of propagation and observation. Actually, in this gravitational framework, for one polarization state, transverse waves propagate causing equal in-phase deformation displacement, not counter-phase as expected in gravitational interferometry experiments at present status. Calculation of gravitational power losses for the keplerian system PSR 1913+16 in the solution by approximations of inhomogeneous problem is carried out to the first order, which allows the assessment of a second gravitational constant.

**Comments:** 15 Pages. Keywords: General Relativity; Gravitational waves; Continuum mechanics; Tensorial Curl; Vorticity.

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### Submission history

[v1] 17 Nov 2011

[v2] 2011-12-28 04:31:55

[v3] 2013-01-06 14:59:48

[v4] 2013-08-13 06:13:34

[v5] 2014-03-19 17:16:16

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