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

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 $\gamma$ 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.

arXiv comment4 pages, 1 table, accepted for publication in Physics Letters B

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Cited by in corpus (13)

• PPN Parameter $\gamma$ and Solar System Constraints of Massive Brans-Dicke Theories
• Improved upper bounds on Kaluza-Klein gravity with current Solar System experiments and observations
• Classical tests of multidimensional gravity: negative result
• Weak-field limit of f(R)-gravity in three and more spatial dimensions
• Probing Compactified Extra Dimensions with Gravitational Waves
• The equivalence principle in Kaluza-Klein gravity
• Five-dimensional metric $f(R)$ gravity and the accelerated universe
• Massive test particles motion in Kaluza-Klein gravity
• Many-body problem in Kaluza-Klein models with toroidal compactification
• Parameterized Post-Newtonian coefficients for Brans-Dicke gravity with d+1 dimensions
• Astrophysical evidence for an extra dimension: phenomenology of a Kaluza Klein theory
• On the electromagnetic emission from charged test particles in a five dimensional spacetime
• The Possibility of a Non-Lagrangian Theory of Gravity