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arXiv · 0710.3677

Five-dimensional PPN formalism and experimental test of Kaluza-Klein theory

Peng Xu·Yongge Ma
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Abstract

The parametrized post Newtonian formalism for 5-dimensional metric theories with a compact extra dimension is developed. The relation of the 5-dimensional and 4-dimensional formulations is then analyzed, in order to compare the higher dimensional theories of gravity with experiments. It turns out that the value of post Newtonian parameter $γ$ in the reduced 5-dimensional Kaluza-Klein theory is two times smaller than that in 4-dimensional general relativity. The departure is due to the existence of an extra dimension in the Kaluza-Klein theory. Thus the confrontation between the reduced 4-dimensional formalism and Solar system experiments raises a severe challenge to the classical Kaluza-Klein theory.

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Peng Xu, Yongge Ma. 2007-10-19. Five-dimensional PPN formalism and experimental test of Kaluza-Klein theory. https://doi.org/10.1016/j.physletb.2007.09.035

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