Abstract
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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Cardone, F., Francaviglia, M. & Mignani, R. Energy and Relativistic Clock Rates in Five Dimensions. General Relativity and Gravitation 30, 1619–1627 (1998). https://doi.org/10.1023/A:1026664221797
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DOI: https://doi.org/10.1023/A:1026664221797