Perfect fluid cosmology with geodesic world lines

Physics

Scientific paper

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Scientific paper

It is shown that for a perfect fluid with an equation of state p=p(ρ), if the world lines are geodesics, then they are hypersurface orthogonal and the scalars p, ρ, σ2, and θ2 are all constants over these hypersurfaces, irrespective of any spatial-homogeneity assumption. However, an examination of some simple cases does not reveal any spatially nonhomogeneous solution with these properties.

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