Parametric Solution of Certain Nonlinear Differential Equations in Cosmology

DOI10.1142/S140292511100143XzbMath1220.83013arXiv1202.4422WikidataQ115244613 ScholiaQ115244613MaRDI QIDQ3018682

Floyd L. Williams, Jennie D'Ambroise

Publication date: 27 July 2011

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

Full work available at URL: https://arxiv.org/abs/1202.4422

zbMATH Keywords

elliptic functionsWeierstrass \(\wp\)-functionBianchi cosmological models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) 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) Exact solutions to problems in general relativity and gravitational theory (83C15) Elliptic functions and integrals (33E05)

Related Items (2)

Nonlinear Schrödinger-type formulation of scalar field cosmology: Two barotropic fluids and exact solutions ⋮ Critical Robertson-Walker universes

Cites Work

• Unnamed Item
• An exact solution in non-linear oscillations
• Cosmic dynamics of Bose–Einstein condensates
• Inhomogeneous Cosmological Models
• General relativity, the cosmological constant and modular forms
• A dynamic correspondence between Bose–Einstein condensates and Friedmann–Lemaître–Robertson–Walker and Bianchi I cosmology with a cosmological constant
• SPHERICALLY SYMMETRIC DISTRIBUTIONS OF MATTER WITHOUT PRESSURE

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