Dynamics of anisotropic universes

Jérôme Perez

doi:10.1063/1.2399648

Dynamics of anisotropic universes

Jérôme Perez

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We present a general study of the dynamical properties of Anisotropic Bianchi Universes in the context of Einstein General Relativity. Integrability results using Kovalevskaya exponents are reported and connected to general knowledge about Bianchi dynamics. Finally, dynamics toward singularity in Bianchi type VIII and IX universes are showed to be equivalent in some precise sence.

Original language	English
Title of host publication	Albert Einstein Century International Conference
Pages	714-721
Number of pages	8
DOIs	https://doi.org/10.1063/1.2399648
Publication status	Published - 1 Dec 2006
Event	Albert Einstein Century International Conference - Paris, France Duration: 18 Jul 2005 → 22 Jul 2005

Publication series

Name	AIP Conference Proceedings
Volume	861
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	Albert Einstein Century International Conference
Country/Territory	France
City	Paris
Period	18/07/05 → 22/07/05

Keywords

Analytical methods
Anisotropic universes
Dynamical systems
General relativity
Numerical methods

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10.1063/1.2399648

Cite this

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title = "Dynamics of anisotropic universes",

abstract = "We present a general study of the dynamical properties of Anisotropic Bianchi Universes in the context of Einstein General Relativity. Integrability results using Kovalevskaya exponents are reported and connected to general knowledge about Bianchi dynamics. Finally, dynamics toward singularity in Bianchi type VIII and IX universes are showed to be equivalent in some precise sence.",

keywords = "Analytical methods, Anisotropic universes, Dynamical systems, General relativity, Numerical methods",

author = "J{\'e}r{\^o}me Perez",

year = "2006",

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AU - Perez, Jérôme

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N2 - We present a general study of the dynamical properties of Anisotropic Bianchi Universes in the context of Einstein General Relativity. Integrability results using Kovalevskaya exponents are reported and connected to general knowledge about Bianchi dynamics. Finally, dynamics toward singularity in Bianchi type VIII and IX universes are showed to be equivalent in some precise sence.

AB - We present a general study of the dynamical properties of Anisotropic Bianchi Universes in the context of Einstein General Relativity. Integrability results using Kovalevskaya exponents are reported and connected to general knowledge about Bianchi dynamics. Finally, dynamics toward singularity in Bianchi type VIII and IX universes are showed to be equivalent in some precise sence.

KW - Analytical methods

KW - Anisotropic universes

KW - Dynamical systems

KW - General relativity

KW - Numerical methods

UR - https://www.scopus.com/pages/publications/77956685294

U2 - 10.1063/1.2399648

DO - 10.1063/1.2399648

M3 - Conference contribution

AN - SCOPUS:77956685294

SN - 9780735403598

T3 - AIP Conference Proceedings

SP - 714

EP - 721

BT - Albert Einstein Century International Conference

T2 - Albert Einstein Century International Conference

Y2 - 18 July 2005 through 22 July 2005

ER -

Dynamics of anisotropic universes

Abstract

Publication series

Conference

Keywords

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