Czuchry, Ewa, Kwidzinski, Nick and Piechocki, Wlodzimierz ORCID: 0000-0002-0313-5395 (2019). Comparing the dynamics of diagonal and general Bianchi IX spacetime. Eur. Phys. J. C, 79 (2). NEW YORK: SPRINGER. ISSN 1434-6052

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Abstract

We make comparison of the dynamics of the diagonal and nondiagonal Bianchi IX models in the evolution towards the cosmological singularity. Apart from the original variables, we use the Hubble normalized ones commonly applied in the examination of the dynamics of homogeneous models. Applying the dynamical systems method leads to the result that in both cases the continuous space of critical points is higher dimensional and they are of the nonhyperbolic type. This is a generic feature of the dynamics of both cases and seems to be independent on the choice of phase space variables. The topologies of the corresponding critical spaces are quite different. We conjecture that the nondiagonal case may carry a new type of chaos different from the one specific to the usually examined diagonal one.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Czuchry, EwaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kwidzinski, NickUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Piechocki, WlodzimierzUNSPECIFIEDorcid.org/0000-0002-0313-5395UNSPECIFIED
URN: urn:nbn:de:hbz:38-156312
DOI: 10.1140/epjc/s10052-019-6690-y
Journal or Publication Title: Eur. Phys. J. C
Volume: 79
Number: 2
Date: 2019
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1434-6052
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MIXMASTER UNIVERSEMultiple languages
Physics, Particles & FieldsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/15631

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