Energy and Relativistic Clock Rates in Five Dimensions

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In the framework of a Kaluza-Klein-like scheme, based on a five-dimensional Riemannian space in which energy plays the role of the fifth dimension, we discuss a class of solutions of the five-dimensional Einstein equations in vacuum, which allows us to recover the energy-dependent phenomenological metric for gravitation, recently derived from the analysis of some experimental data concerning the slowing down of clock rates in the gravitational field of Earth.

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