Abstract
A cosmological solution is obtained in a 5D “space-time-mass” cosmological model by applying a homogeneous and isotropic metric, whose tensorsg ij (i, j =0–4) are functions of both timet and massm, to the field equations in vacuum. It shows that in this theoryg 44of the fifth coordinate is contracted not only by special functional form oft as in the Kaluza-Klein theory but also by that ofm. This procedure realizes the universe which evolves into a conventional 4D radiation-dominated era from a 5D vacuum era.
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Fukui, T. A cosmological solution of a 5D space-time-mass gravity in vacuum. Gen Relat Gravit 19, 43–46 (1987). https://doi.org/10.1007/BF01119809
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DOI: https://doi.org/10.1007/BF01119809