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Scalar field cosmology: its non-linear Schr\"{o}dinger-type formulation
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Scalar field cosmology is a model for dark energy and inflation. It has been recently found that the standard Friedmann formulation of the scalar field cosmology can be expressed in a non-linear Schr\"{o}dinger-type equation. The new mathematical formulation is hence called non-linear Schr\"{o}dinger (NLS) formulation which is suitable for a FRLW cosmological system with non-negligible barotropic fluid density. Its major features are reviewed here.
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Non-linear Schr\"{o}dinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions
The time-independent NLS formulation of two-fluid scalar-field cosmology yields exact solutions, but most are unphysical or duplicate known results, motivating a time-dependent extension.
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