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Papers by Sandro Antonelli

Open Access Library Journal, 2018

I outline a new hypothetical approach issuing a second gravitational equation in the scope of a p... more I outline a new hypothetical approach issuing a second gravitational equation in the scope of a promising model tackling the gravitational wave problem. This wave equation for graviton is framed in the endeavour to bridge the puzzling missing link to allow for quantum scale physics in a unifying gravity theory, through a new coupling constant S: thus wave is regarded as a symmetry breaking of general covariance of field equations through contraction of Riemann tensor by a constant pseudo-tensor. That also allows an inertial mass to be assigned to the graviton (OE-25 eV/c2). This extension of General Relativity stems from self-evident considerations on the differential conditions of compatibility involving the two fundamental tensors on the curvature of the Space-Time continuum. Some considerations about last detected events are broached on the gauging of S constant, bringing forth a value that differs of two orders of magnitude with respect to the fitting of known binary star systems, unless source parameters are revised.

International Journal of Physics, 2014, Vol. 2, No. 6, 267-276, Dec 8, 2014

This article intends to fathom a development by M.Tailherer which introduces a second gravitation... more This article intends to fathom a development by M.Tailherer which introduces a second gravitational equation devised to complete General Relativity (TGR), based on the ansatz of equating the curvature tensor opportunely contracted to the 4-vorticity by a new constant S as measure of the intrinsic inertia of the curved Space-Time. After justifying the need to deal with the 2nd fundamental tensor in Relativity in discussing the dynamics of Space-Time structure, it has been shown how the model exhibits unforeseen analogies with the electromagnetic theory. As direct continuation of the analysis of the gravitational wave propagation in free space, it has been seen that on asymptotic conditions the polarization state can be retrieved as mixture of two independent modes likewise TGR as from harmonic constraints on the homogeneous solution of wave equation. Actually, in this gravitational framework, at least 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. Computation of gravitational power losses for the keplerian system B 1913+16 in the solution by approximations of the inhomogeneous problem has been carried out to the 1st order, which has allowed the attempt of the assessment of a new universal gravitational constant for the first time ever.

International Journal of Physics, 2015, vol. 3, No. 4, pp. 139-149, May 23, 2015

The need of extending the theory of relativity has led M.Tailherer to the staggering hypothesis ... more The need of extending the theory of relativity has led M.Tailherer to the staggering hypothesis of a new fundamental equation and constant, in account of the exigence to embody in a unique physical equation the link between gradient of curvature and deformation of metric. As direct continuation of a preceding work, here a new assessment of the constant S in the Vortex Theory of gravitation is given in a more direct approach than 1st approximation. Issues are concerned fitting by Maple the B1913+16, J0737-3039 and B1534+12 binary systems DATA, also allowing to assign a meaningful inertial mass to the graviton mG=(5.5±2.6)E-61 Kg confirming known heuristic bounding. In Appendix an easy way of getting Tailherer's equation is shown along with the whole action of the model and the description of the tide effect on a test mass with respect to a x polarized gravitational wave in the case of an asymmetric source.

viXra e-Print archive, Nov 23, 2013

Because undervalued in classical Relativity, following Ferrarese's approach, I simply expose the ... more Because undervalued in classical Relativity, following Ferrarese's approach, I simply expose the necessity of dealing with this topic of surface geometry as basis for extension of Einstein's theory into Tailherer's Vortex theory of gravity by the introduction of the metric deformation speed to account for gravitational radiation.

Drafts by Sandro Antonelli

I'm going to expound the Vorticity tensor gradient formula in general coordinates as treated in ... more I'm going to expound the Vorticity tensor gradient formula in general coordinates as treated in classical and relativistic continuum mechanics and lent as milestone in the newly advanced Vortex theory of gravitational waves.

Open Access Library Journal, 2018

I outline a new hypothetical approach issuing a second gravitational equation in the scope of a p... more I outline a new hypothetical approach issuing a second gravitational equation in the scope of a promising model tackling the gravitational wave problem. This wave equation for graviton is framed in the endeavour to bridge the puzzling missing link to allow for quantum scale physics in a unifying gravity theory, through a new coupling constant S: thus wave is regarded as a symmetry breaking of general covariance of field equations through contraction of Riemann tensor by a constant pseudo-tensor. That also allows an inertial mass to be assigned to the graviton (OE-25 eV/c2). This extension of General Relativity stems from self-evident considerations on the differential conditions of compatibility involving the two fundamental tensors on the curvature of the Space-Time continuum. Some considerations about last detected events are broached on the gauging of S constant, bringing forth a value that differs of two orders of magnitude with respect to the fitting of known binary star systems, unless source parameters are revised.

International Journal of Physics, 2014, Vol. 2, No. 6, 267-276, Dec 8, 2014

This article intends to fathom a development by M.Tailherer which introduces a second gravitation... more This article intends to fathom a development by M.Tailherer which introduces a second gravitational equation devised to complete General Relativity (TGR), based on the ansatz of equating the curvature tensor opportunely contracted to the 4-vorticity by a new constant S as measure of the intrinsic inertia of the curved Space-Time. After justifying the need to deal with the 2nd fundamental tensor in Relativity in discussing the dynamics of Space-Time structure, it has been shown how the model exhibits unforeseen analogies with the electromagnetic theory. As direct continuation of the analysis of the gravitational wave propagation in free space, it has been seen that on asymptotic conditions the polarization state can be retrieved as mixture of two independent modes likewise TGR as from harmonic constraints on the homogeneous solution of wave equation. Actually, in this gravitational framework, at least 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. Computation of gravitational power losses for the keplerian system B 1913+16 in the solution by approximations of the inhomogeneous problem has been carried out to the 1st order, which has allowed the attempt of the assessment of a new universal gravitational constant for the first time ever.

International Journal of Physics, 2015, vol. 3, No. 4, pp. 139-149, May 23, 2015

The need of extending the theory of relativity has led M.Tailherer to the staggering hypothesis ... more The need of extending the theory of relativity has led M.Tailherer to the staggering hypothesis of a new fundamental equation and constant, in account of the exigence to embody in a unique physical equation the link between gradient of curvature and deformation of metric. As direct continuation of a preceding work, here a new assessment of the constant S in the Vortex Theory of gravitation is given in a more direct approach than 1st approximation. Issues are concerned fitting by Maple the B1913+16, J0737-3039 and B1534+12 binary systems DATA, also allowing to assign a meaningful inertial mass to the graviton mG=(5.5±2.6)E-61 Kg confirming known heuristic bounding. In Appendix an easy way of getting Tailherer's equation is shown along with the whole action of the model and the description of the tide effect on a test mass with respect to a x polarized gravitational wave in the case of an asymmetric source.

viXra e-Print archive, Nov 23, 2013

Because undervalued in classical Relativity, following Ferrarese's approach, I simply expose the ... more Because undervalued in classical Relativity, following Ferrarese's approach, I simply expose the necessity of dealing with this topic of surface geometry as basis for extension of Einstein's theory into Tailherer's Vortex theory of gravity by the introduction of the metric deformation speed to account for gravitational radiation.

I'm going to expound the Vorticity tensor gradient formula in general coordinates as treated in ... more I'm going to expound the Vorticity tensor gradient formula in general coordinates as treated in classical and relativistic continuum mechanics and lent as milestone in the newly advanced Vortex theory of gravitational waves.