2011/07/18 by Alexey Chopovsky, Chopovsky, Alexey, Maxim Eingorn +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Theory (hep-th) #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1107.3387
15 pages, no figures, extended version
arxiv created 2012/02/09 · arxiv updated 2016/02/18
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 γ. We demonstrate that γ=1/3 which strongly contradicts the observations.