Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II

TL;DR

This paper extends previous work by providing explicit parametrized solutions to specific nonlinear differential equations in cosmology using elliptic functions, enhancing the mathematical tools available for cosmological models.

Contribution

It introduces a generalized explicit solution for nonlinear differential equations in cosmology using elliptic functions, building upon earlier work and applying it to cosmological problems.

Findings

Explicit solutions in terms of Weierstrass elliptic functions.

Application of solutions to cosmological models.

Generalization of Lemaitre's work.

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.