1201.1756 (Maxim Eingorn et al.)

Comments on gravitational interaction in Kaluza-Klein models    [PDF]

Maxim Eingorn, Alexander Zhuk

In these comments, we clarify the problematic aspects of gravitational interaction in a weak-field limit of Kaluza-Klein models. We explain why some models meet the classical gravitational tests, while others do not. We show that variation of the total volume of the internal spaces generates the fifth force. This is the main reason of the problem. It happens for all considered models (linear with respect to the scalar curvature and non-linear f(R), with toroidal and spherical compactifications). In the case of models with toroidal compactification, we demonstrate how tension (with and without effects of non-linearity) of the gravitating source can eliminate the fifth force, resulting in agreement with the observations. It takes place for latent solitons, black strings and black branes. In the case of spherical compactification, the fifth force is replaced by the Yukawa interaction for models with the stabilized internal space. For large Yukawa masses, the effect of this interaction is negligibly small, and considered models satisfy the gravitational tests at the same level of accuracy as General Relativity.

View original: http://arxiv.org/abs/1201.1756