Scalar field cosmology: its non-linear Schr\"odinger-type formulation
Abstract
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\"odinger-type equation. The new mathematical formulation is hence called non-linear Schr\"odinger (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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