A non-linear Schrodinger type formulation of FLRW scalar field cosmology

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.

arXiv comment9 pages, no figures

References in corpus (1)

• The Ermakov-Pinney Equation in Scalar Field Cosmologies

Cited by in corpus (4)

• A dynamic correspondence between Bose-Einstein condensates and Friedmann-Lemaître-Robertson-Walker and Bianchi I cosmology with a cosmological constant
• Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schrödinger-type formulation
• Applications of Elliptic and Theta Functions to Friedmann-Robertson-Lemaitre-Walker Cosmology with Cosmological Constant
• Generalized EMP and nonlinear Schrodinger-type reformulations of some scalar field cosmological models