Cosmological models with viscous fluid and 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, 440 033, India;(2) Department of Mathematics, Science College, Pauni, Dist Bhandara, India |
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Abstract: | Assuming the time-dependent equation of state p=λ(t)ρ, five dimensional cosmological models with viscous fluid for an open universe (k=−1) and flat universe (k=0) are presented. Exact solutions in the context of the rest mass varying theory of gravity proposed by Wesson (Astron. Astrophys.
119, 145, 1983) are obtained. It is found that the phenomenon of isotropisation takes place in this theory, i.e. the mass scale factor A(t) which characterizes the rest mass of a typical particle is evolving with cosmic time just as the spatial scale factor R(t). It is further found that rest mass is approximately constant in the present universe. |
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Keywords: | Cosmology Wesson’ s theory Variable rest mass Time-dependent equation of state |
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