Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II

2012/08/23 by Jennie D'Ambroise, D'Ambroise, Jennie, Floyd L. Williams +1
Mathematics · Physics and Astronomy · #33E05 #34A05 #34A34 #83C15 #83FO5 #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #gr-qc #math-ph #math.MP #msc:33E05 #msc:34A05 #msc:34A34 #msc:83C15 #msc:83FO5

paper · pdf · doi:10.48550/arxiv.1208.4812

arxiv created 2012/08/23 · arxiv updated 2012/08/24

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.

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