Five-dimensional cosmological model with a time-dependent equation of state in Wesson’s theory |
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| Authors: | G S Khadekar G R Avachar |
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| Institution: | (1) Department of Mathematics, R.T.M. Nagpur University, Mahatma Jyotiba Phule Educational Campus, Amravati Road, Nagpur, 440 003, India;(2) Department of Mathematics, Science College, Pauni, Bhandara, India |
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| 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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| Keywords: | Cosmology Wesson’ s theory Variable rest mass Time dependant equation of state |
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