Foucault pendulum and gravito-radiative force.

Physics

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General Relativity: Gravitation

Scientific paper

It has been shown that the linearized Einstein theory of general relativity gives rise to the anisotropy of space effect as a relativistic correction to the Newtonian gravitational force when a very large mass is assumed to exist at the galactic center. The linearized Einstein theory also yields gravito-radiative forces which are proportional to Vv˙v/r, where V is the speed of a test particle, v˙ and v are the acceleration and speed, respectively, of a massive gravitational source at a distance r from the test particle. They correspond to the far-field in the electromagnetic antenna theory in that they are inversely proportional to r, in contrast to the near field, like Coulomb and Newton forces, which are inversely proportional to r2. The gravito-radiative forces due to the galactic nucleus are observed in the verticity experiment and reported previously. It is shown here that the same gravito-radiative forces induce an oscillation of a Foucault pendulum in the direction perpendicular to its original (linear) oscillation. Actually such effect, called the ellipticity of Foucault pendulums, has been known to exist since the Foucault effect itself was found.

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