A dynamic correspondence between Bose–Einstein condensates and Friedmann–Lemaître–Robertson–Walker and Bianchi I cosmology with a cosmological constant

2010/06/01 by Jennie D’Ambroise, Jennie D'Ambroise, Floyd L. Williams
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Constant curvature #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Friedmann equations #Friedmann–Lemaître–Robertson–Walker metric #Geometry #Gravitation #Mathematical physics #Mathematics #Perfect fluid #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Theoretical physics #hep-th #math-ph #math.MP

paper · pdf · doi:10.1063/1.3429611

published as J.Math.Phys. 51:062501,2010

openalex publication_date 2010/06/01 · arxiv created 2010/07/24 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In some interesting work of James Lidsey, the dynamics of Friedmann–Lemaître–Robertson–Walker (FLRW) cosmology with positive curvature and a perfect fluid matter source is shown to be modeled in terms of a time-dependent, harmonically trapped Bose–Einstein condensate. In the present work, we extend this dynamic correspondence to both FLRW and Bianchi I cosmologies in arbitrary dimension, especially when a cosmological constant is present.

Citations

• EMP and linear Schrodinger models for a conformally Bianchi I cosmology
• A non-linear Schrodinger type formulation of FLRW scalar field cosmology
• From Feshbach-resonance managed Bose–Einstein condensates to anisotropic universes: Applications of the Ermakov–Pinney equation with time-dependent nonlinearity