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Korteweg-de Vries adiabatic index solitons in barotropic open FRW cosmologies

H. C. Rosu

gr-qcarXiv:gr-qc/0111002

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 n2(3/2γ-1)2 (γ≠ 2/3) in the sech FRW adiabatic index soliton

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