Painlevé singularity analysis of the Brans - Dicke Bianchi type-IX vacuum cosmological model

Autor:	Jacques Demaret, Christian Scheen
Rok vydání:	1996
Předmět:	Physics Method of undetermined coefficients General Relativity and Quantum Cosmology Physics and Astronomy (miscellaneous) Logarithm Integrable system Homogeneous Singularity analysis Chaotic Cosmological model Type (model theory) Mathematical physics
Zdroj:	Classical and Quantum Gravity. 13:1909-1930
ISSN:	1361-6382 0264-9381
DOI:	10.1088/0264-9381/13/7/020
Popis:	We perform the Painleve test for the Bianchi type-IX homogeneous geometry studied in the Brans - Dicke theoretical framework and considered in the vacuum case. We show that this spatially homogeneous cosmological dynamics is not integrable in the Painleve sense: the model studied does not pass the perturbative Painleve test, exhibits infinitely many movable logarithmic branchings and is therefore probably chaotic, a fact supported by some recent numerical investigations. Moreover, this technique enables us to detect every single-valued particular solution associated with the dynamics under study, and these particular solutions are explicitly written whenever possible.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d2f5a60be0c29ce111d1ed9a64708836 https://doi.org/10.1088/0264-9381/13/7/020 Zobrazit plný text záznamu