Korteweg-de Vries adiabatic index solitons in barotropic open FRW cosmologies
arXiv:gr-qc/0111002 · doi:10.1142/S0217732302006898
Abstract
Applying standard mathematical methods, it is explicitly shown how the Riccati equation for the Hubble parameter H(η) of barotropic open FRW cosmologies is connected with a Korteweg-de Vries equation for adiabatic index solitons. It is also shown how one can embed a discrete sequence of adiabatic indices of the type n^2({3/2}γ-1)^2 (γ\neq 2/3) in the sech FRW adiabatic index soliton
5 pages, without figures