Classical gravitational spin–spin interaction

Ja n 20 02 Classical gravitational spin - spin interaction

I obtain an exact, axially symmetric, stationary solution of Einstein's equations for two massless spinning particles. The term representing the spin-spin interaction agrees with recently published approximate work. The spin-spin force appears to be proportional to the inverse fourth power of the coordinate distance between the particles.

Classical thermodynamics of gravitational collapse

Geometrie Unification of Classical Gravitational and Electromagnetic Interaction in Five Dimensions: a Modified Approach

A unification of the gravitational with the electromagnetic interaction within a classical framework is proposed. It is based on a Fs-geometry, with x^ — qjm. The sole source term is mechanical stress energy, positioned along X5. The trajectories of testbodies are placed in V4 (xo = const)-slices. The final field equation couples a geometric G-tensor to mechanical stress energy, its momentum wi...

On gravitational interaction of fermions

We discuss some aspects of the gravitational interaction of the relativistic quantum particles with spin 1/2. The exact Foldy-Wouthuysen transformation is constructed for the Dirac particle coupled to the static spacetime metric. The quasirelativistic limit of the theory is then analyzed. Using the analogous method, we obtain the exact Cini-Touschek transformation and discuss the ultra-relativi...

Gravitational Lorentz Force and the Description of the Gravitational Interaction

In the context of a gauge theory for the translation group, we have obtained , for a spinless particle, a gravitational analog of the Lorentz force. Then, we have shown that this force equation can be rewritten in terms of magnitudes related to either the teleparallel or the riemannian structures induced in spacetime by the presence of the gravitational field. In the first case, it gives a forc...