1209.4501 (Maxim Eingorn et al.)

Viable Kaluza-Klein models with spherical compactification: multicomponent background    [PDF]

Maxim Eingorn, Seyed Hossein Fakhr, Alexander Zhuk

We consider Kaluza-Klein models with background matter in the form of a multicomponent perfect fluid. This matter provides spherical compactification of the internal space with an arbitrary number of dimensions. We perturb this background by a compact gravitating source with the dust-like equation of state in the external/our space and an arbitrary equation of state (with the parameter $\Omega$) in the internal space. We demonstrate a possibility for the considered model to satisfy both the gravitational tests (the deflection of light, the time delay of radar echoes, the PPN parameter $\gamma$) and the thermodynamical observations in the case of vanishing tension, i.e. for $\Omega=0$. To get this result, we need to impose the fine-tuning condition.

View original: http://arxiv.org/abs/1209.4501