1107.3387 (Alexey Chopovsky et al.)

Weak-field limit of Kaluza-Klein models with spherical compactification:
problematic aspects    [PDF]

Alexey Chopovsky, Maxim Eingorn, Alexander Zhuk

We investigate classical gravitational tests for the Kaluza-Klein model with
spherical compactification of the internal two-dimensional space. In the case
of the absence of a multidimensional bare cosmological constant, the only
matter which corresponds to the proposed metric ansatz is a perfect fluid with
the vacuum equation of state in the external space and the dust-like equation
of state in the internal space. We perturb this background by a compact massive
source with the dust-like equation of state in both external and internal
spaces (e.g., a point-like mass), and obtain the metric coefficients in the
weak-field approximation. It enables to calculate the parameterized
post-Newtonian parameter $\gamma$. We demonstrate that $\gamma=1/3$ which
strongly contradicts the observations.

View original: http://arxiv.org/abs/1107.3387