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

DOI10.1063/1.3429611zbMath1311.83013arXiv1007.4237OpenAlexW2152248095MaRDI QIDQ5251264

Jennie D'Ambroise, Floyd L. Williams

Publication date: 19 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4237

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Related Items (3)

Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping ⋮ Parametric Solution of Certain Nonlinear Differential Equations in Cosmology ⋮ Barotropic FRW cosmologies with Chiellini damping

Cites Work

• From Feshbach-resonance managed Bose-Einstein condensates to anisotropic universes: applications of the Ermakov-Pinney equation with time-dependent nonlinearity
• Cosmic dynamics of Bose–Einstein condensates
• EINSTEIN FIELD EQUATIONS: AN ALTERNATE APPROACH TOWARDS EXACT SOLUTIONS FOR AN FRW UNIVERSE
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