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The limit dynamics for the vacuum Einstein equations in a homogeneous universe

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  • Llibre, Jaume

Abstract

We study the dynamics of the Bianchi IX universe when one of the structure constants tends to zero, i.e. we study the dynamics of the Bianchi VII universe. We prove that there is a surface filled of periodic orbits surrounding an equilibrium point, and that except for another surface filled of equilibria the remainder orbits comes and go to infinity.

Suggested Citation

  • Llibre, Jaume, 2022. "The limit dynamics for the vacuum Einstein equations in a homogeneous universe," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s096007792200697x
    DOI: 10.1016/j.chaos.2022.112490
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    References listed on IDEAS

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    1. Alrebdi, H.I. & Steklain, A.F. & Zotos, E.E., 2022. "Applying chaos indicators to Bianchi cosmological models," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
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    Cited by:

    1. Nur Adibah Mohidem & Zailina Hashim, 2023. "Integrating Environment with Health: An Islamic Perspective," Social Sciences, MDPI, vol. 12(6), pages 1-26, May.

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