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

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

2007-10-19

arxiv.org/abs/0710.3677v1

Phys.Lett.B656:165-168,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 1 table, accepted for publication in Physics Letters B

Scientific paper

10.1016/j.physletb.2007.09.035

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 $\gamma$ 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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