A non-linear Schrodinger type formulation of FLRW scalar field cosmology
Jennie D'Ambroise, Floyd L. Williams
Abstract
We show that the Friedmann-Lemaitre-Robertson-Walker equations with scalar field and perfect fluid matter source are equivalent to a suitable non-linear Schrodinger type equation. This provides for an alternate method of obtaining exact solutions of the Einstein field equations for a homogeneous, isotropic universe.
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