Energy conditions and qualitative cosmology.

Mathematics – Logic

Scientific paper

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Cosmological Models:Singularities

Scientific paper

Isotropic homogeneous universes that do not necessarily obey the energy conditions during their entire evolution are investigated. The pressure P is assumed to be a function of the energy density ɛ and the expansion rate H. The phase variable description is adopted and some general interconnections between the energy conditions and the structure of the (ɛ, H)-phase plane are derived.

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