An analogue of de Sitter universe.

Mathematics – Logic

Scientific paper

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Cosmology: Inflationary Universe, Cosmology: Big-Bang Theory, Cosmology: De Sitter Universe

Scientific paper

It is shown that the perfect fluid distribution without cosmological constant is quite analogous to the homogeneous de Sitter type universe with equation of state p+ρ = 0. The field equations and their consequences are derived and a solution is given. Some geometrical properties of the model are studied, one of them stating that this spacetime is an Einstein space. Among the physical properties of the model the motion of a test particle and the Doppler effect are studied. This model revives the so-called inflationary model to describe the earliest phases of the 'Big Bang'.

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