TWO-BODY PROBLEM IN KALUZA-KLEIN MODELS WITH RICCI-FLAT INTERNAL SPACES

Alexey Chopovsky
2013 Odessa Astronomical Publications  
We consider the dynamics of a two-body system in the model with additional spatial dimensions compactified on a Ricci-flat manifold. To define the gravitational field of a system and to construct its Lagrange function we use the weak-field approach. It is shown, that to avoid the contradiction with the experimental restrictions on the value of PPN-parameter 7, the massive sources must have nonzero pressure/tension into the extra dimensions and also must be uniformly smeared there. This fact
more » ... s directly to the absence of the Kaluza-Klein modes, which looks unnatural from the point of quantum mechanics.
doi:10.18524/1810-4215.2013.26.82560 doaj:876494ad2e8d48589421e7d0ab6ebd5d fatcat:myqot6r6j5fr3n24uanj3l2bhm