### BibTeX

@MISC{Loinger04animmediate,

author = {Angelo Loinger},

title = {AN IMMEDIATE PROOF OF THE NON-EXISTENCE OF GW’S},

year = {2004}

}

### OpenURL

### Abstract

Abstract. In general relativity (GR) no observer is physically privileged. As a strict consequence, it can be shown that the physical generation of gravitational waves (GW’s) is quite impossible. 1.- As it is well known, the notion of GW came forth as a by-product of the linear approximation of GR [1]. Now, this approximation – which resembles Maxwell e.m. theory – is fully inadequate to a proper study of the hypothetic GW’s (see [2], [3]). On the other hand, in the exact (nonapproximate) formulation of GR no “mechanism ” exists in reality for the physical generation of the GW’s, as it can be proved [3]. The undulatory solutions of Einstein field equations have a mere formal character. I give here another proof of the real non-existence of physical GW’s, which is so straightforward that even the physicist in the street will understand it. 2.- There is a radical difference between Maxwell e.m. theory and Einstein general relativity: Maxwell theory is Lorentz invariant, the set of the inertial observers is physically privileged – Einstein theory has an invariant character with respect to all transformations of general co-ordinates, and no observer is physically privileged [4]. All observers are on an equal physical footing just like the inertial observers in Maxwell theory. (Strictly speaking, in GR the concept “observer ” requires a particular specification [5]). 3.- An electric charge C which is at rest for a given inertial observer I0 cannot emit e.m. waves. Any inertial observer I for whom C is in motion does not possess physical privileges with respect to I0. Accordingly, both observer I0 and observer I do not register any e.m. wave sent forth by C. In GR the expression at rest must be defined precisely every time, specifying the interested spacetime manifold, because the co-ordinates are mere “labels ” of point events [5]. Let us consider for instance the Einsteinian gravitational field generated by a homogeneous sphere of an incompressible fluid as it was investigated by Schwarzschild [6]. In Schwarzschild’s system of co-ordinates S0 the sphere is at rest, and no GW is emitted. Now, any observer S – very far, in particular, from observer S0 –, for whom the sphere of fluid is in motion does not possess any physical privilege with respect to To be published on Spacetime & Substance.

### Keyphrases

immediate proof non-existence gw inertial observer physical generation maxwell theory physical privilege undulatory solution invariant character einstein general relativity inertial observer i0 cannot emit concept observer privileged einstein theory co-ordinate s0 radical difference physical gw general relativity point event lorentz invariant schwarzschild system observer s0 hypothetic gw einsteinian gravitational field general co-ordinate linear approximation spacetime substance mere formal character incompressible fluid real non-existence equal physical footing mere label gravitational wave strict consequence proper study interested spacetime manifold einstein field equation homogeneous sphere electric charge particular specification