Abstract
A simple vacuum cosmological solution that is a function ofct, Gm/c 2 andeG 1/2/C2 is obtained in the 6D space-time-mass-charge universe which is proposed by Wesson [1] with the introduction of the sixth coordinate of charge in order to obtain a unified theory of gravity and electromagnetism along the line of his original 5D space-time-mass universe [2]. It reduces to a similar solution to that of the radiation era in the 4D FRW universe through the compactifications of the extra dimensions. The trajectory of a “test particle” in the 6D universe is also studied by using the solution.
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Fukui, T. Vacuum cosmological solution in a 6D universe. Gen Relat Gravit 24, 389–395 (1992). https://doi.org/10.1007/BF00760414
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DOI: https://doi.org/10.1007/BF00760414