2010
DOI: 10.1103/physrevd.81.083531
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Homoclinic chaos in axisymmetric Bianchi-IX cosmological models with anad hocquantum potential

Abstract: In this work we study the dynamics of the axisymmetric Bianchi IX cosmological model with a term of quantum potential added. As it is well known this class of Bianchi IX models are homogeneous and anisotropic with two scale factors, A(t) and B(t), derived from the solution of Einstein's equation for General Relativity. The model we use in this work has a cosmological constant and the matter content is dust. To this model we add a quantum-inspired potential that is intended to represent short-range effects due … Show more

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Cited by 2 publications
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“…Chaos is a universal physical phenomenon in those nonlinear dynamical systems. Due to the intrinsic nonlin-P − V earity of Einstein 's general relativity theory, chaotic behavior is an important dynamics characteristic for such relativistic systems [18][19][20][21][22]. In the past few decades, more and more attention has been focused on the chaotic behavior in the black hole background [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”
mentioning
confidence: 99%
“…Chaos is a universal physical phenomenon in those nonlinear dynamical systems. Due to the intrinsic nonlin-P − V earity of Einstein 's general relativity theory, chaotic behavior is an important dynamics characteristic for such relativistic systems [18][19][20][21][22]. In the past few decades, more and more attention has been focused on the chaotic behavior in the black hole background [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”
mentioning
confidence: 99%