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

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

1 Cita (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	112490
Número de páginas	3
Publicación	Chaos, Solitons and Fractals
Volumen	162
DOI	https://doi.org/10.1016/j.chaos.2022.112490
Estado	Publicada - sept 2022

Acceder al documento

10.1016/j.chaos.2022.112490

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

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{1d7865f4cf644825844dd0acc7db6977,

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.",

keywords = "An structure constant tending to zero, Bianchi IX universe, Einstein equations, Homogeneous universe",

author = "Jaume Llibre",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = sep,

doi = "10.1016/j.chaos.2022.112490",

language = "English",

volume = "162",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - The limit dynamics for the vacuum Einstein equations in a homogeneous universe

AU - Llibre, Jaume

PY - 2022/9

Y1 - 2022/9

N2 - 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.

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

U2 - 10.1016/j.chaos.2022.112490

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

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto