Nonlinear dynamics in the Einstein–Friedmann equation

Yosuke Tanaka, Yuji Mizuno, Shigetoshi Ohta, Keisuke Mori and Tanji Horiuchi

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 533-549

Abstract: We have studied the gravitational field equations on the basis of general relativity and nonlinear dynamics. The space component of the Einstein–Friedmann equation shows the chaotic behaviours in case the following conditions are satisfied:(i)the expanding ratio: h=x˙/x<0,(ii)the curvature: ζ=−1, and(iii)the cosmological constant: λ<κp.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:533-549

DOI: 10.1016/j.chaos.2008.02.027

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