A Schrodinger formulation of Bianchi I scalar field cosmology

2007/11/25 by Jennie D'Ambroise, D'Ambroise, Jennie
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.0711.3916

arxiv created 2007/11/25 · arxiv updated 2009/12/01

Abstract

We show that the Bianchi I Einstein field equations in a perfect fluid scalar field cosmology are equivalent to a linear Schrodinger equation. This is achieved through a special case of the recent FLRW Schrodinger-type formulation, and provides an alternate method of obtaining exact solutions of the Bianchi I equations.

Related

• EMP and linear Schrodinger models for a conformally Bianchi I cosmology
• A non-linear Schrodinger type formulation of FLRW scalar field cosmology
• Generalized EMP and nonlinear Schrodinger-type reformulations of some scalar field cosmological models
• Scalar field cosmology: its non-linear Schrödinger-type formulation
• Einstein-Scalar Field System with a cosmological constant on the type I Bianchi space-time