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

Jaume Llibre

doi:10.1016/j.chaos.2022.112490

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

Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	112490
Number of pages	3
Journal	Chaos, Solitons and Fractals
Volume	162
DOIs	https://doi.org/10.1016/j.chaos.2022.112490
Publication status	Published - Sept 2022

Keywords

An structure constant tending to zero
Bianchi IX universe
Einstein equations
Homogeneous universe

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10.1016/j.chaos.2022.112490

https://ddd.uab.cat/record/267126

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title = "The limit dynamics for the vacuum Einstein equations in a homogeneous universe",

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.",

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AB - 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.

KW - An structure constant tending to zero

KW - Bianchi IX universe

KW - Einstein equations

KW - Homogeneous universe

UR - https://www.scopus.com/pages/publications/85135726943

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DO - 10.1016/j.chaos.2022.112490

M3 - Article

AN - SCOPUS:85135726943

SN - 0960-0779

VL - 162

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 112490

ER -

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

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