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4-dimensional homogeneous isotropic cosmological models obtained fromsolutions of vacuum 5-dimensional Einstein equations are considered. It isassumed, that the G(55)-component of the 5-d metric simulates matter in thecomoving frame of reference. Observable 4-d metric is defined up to conformaltransformations of the metric of 4-d section \tilde{g}, with a conformal factoras a function of the component G(55). It is demonstrated, that the form of thisfunction determines the matter equation of state. Possible equations of stateare analyzed separately for flat, open and close models.Comment: Latex 2e, 8 page

4D Homogeneous Isotropic Cosmological Models Generated by the 5D Vacuum