Abstract
Cosmological solutions that obey the perfect fluid equation of state in Wesson's gravitational theory are presented assuming that the fifth dimension subspace is also homogeneous and isotropic like the usual homogeneous isotropic cosmological model. It is shown that the scale factor scales as\(\sqrt t \) for the vanishing fifth component of the energy momentum tensor. The role of the fifth component as a cosmological constant is remarked, and an inflationary model is thus obtained.
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Berman, M.S., Som, M.M. Cosmological solution in wesson's 5D theory of gravity. Astrophys Space Sci 207, 105–108 (1993). https://doi.org/10.1007/BF00659133
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DOI: https://doi.org/10.1007/BF00659133