Abstract
In the Kaluza–Klein model with toroidal extra dimensions, we obtain the metric coefficients in a weak-field approximation for delta-shaped matter sources. These metric coefficients are applied to calculate the formulas for frequency shift, perihelion shift, deflection of light and parameterized post-Newtonian (PPN) parameters. In the leading order of approximation, the formula for frequency shift coincides with the well-known general relativity expression. However, for perihelion shift, light deflection and the PPN parameter γ we obtain formulas Dπrg/[(D − 2)a(1 − e2)], (D − 1)rg/[(D − 2)ρ] and 1/(D − 2), respectively, where D is the total number of spatial dimensions. These expressions demonstrate good agreement with experimental data only in the case of ordinary three-dimensional (D = 3) space. This result does not depend on the size of the extra dimensions. Therefore, in the considered multidimensional Kaluza–Klein models the point-like masses cannot produce the gravitational field which corresponds to the classical gravitational tests.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
