Abstract
Exact solution for a homogeneous cosmological model in 5D space-time-mass gravity theory proposed by Wesson (Astron. Astrophys. 119:145, 1983) is obtained by assuming the time-dependent equation of state. The behavior of the solution is discussed for the two cases k<0 and k=0. It is found that the observed constancy of the rest mass of an isolated particle in the present era may be interpreted as a consequence of the decreasing rate of change of rest mass with time. Moreover, a spontaneous compactification-like phenomenon of an extra dimension takes place in the case of k=0. It is also found that with decrease in extra space the observable three-dimensional space entropy increases, thus accounting for the large value of entropy observable at present.
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