Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II

Abstract

This paper continues earlier work where an explicit parametrized solution of a particular nonlinear ordinary differential equation was obtained in terms of the Weierstrass elliptic phi-function, sigma function and zeta function -- work which therefore generalized that of G. Lemaitre. Further study of this solution and applications to cosmology are presented.

References in corpus (11)

• Inhomogeneous cosmological models: exact solutions and their applications
• The Cosmic Microwave Background for a Nearly Flat Compact Hyperbolic Universe
• Exact nonlinear inhomogeneities in $\Lambda$CDM cosmology
• General Relativity, the Cosmological Constant and Modular Forms
• Numerical computation of Maass waveforms and an application to cosmology
• Role of the cosmological constant in the holographic description of the early universe
• Elliptic solutions of isentropic ideal compressible fluid flow in (3+1) dimensions
• The Elliptic Solutions to the Friedmann equation and the Verlinde's Maps
• Parametric solution of certain nonlinear differential equations in cosmology
• Generalized EMP and nonlinear Schrodinger-type reformulations of some scalar field cosmological models
• Physics and cosmology in an inhomogeneous Universe