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 (3)

• Exact nonlinear inhomogeneities in $\Lambda$CDM cosmology
• Elliptic solutions of isentropic ideal compressible fluid flow in (3+1) dimensions
• The Elliptic Solutions to the Friedmann equation and the Verlinde's Maps