Eingorn, Maxim V.2014-03-222014-03-222012Odessa Astronomical Publicationshttps://dspace.onu.edu.ua/handle/123456789/4737Odessa Astronomical publications / Одесская астроном. обсерватория . – Одесса : Астропринт, 2012 . – Vol.25/2.ABSTRACT. In this very brief review the crucial problematic aspects of gravitational interaction in the weak field limit of Kaluza-Klein models are clarified. We explain why some models meet the classical gravitational tests, while the others do not. In the case of toroidal compactification of extra spatial dimensions we show how the presence of tension (both with and without effects of nonlinearity with respect to the scalar curvature R ) of a single gravitating source results in agreement with the observations. It takes place for so-called latent solitons, in particular, black strings and black branes.enKaluza-Klein modelsextra dimensionsblack stringsblack branestensiongravitational testsArticle