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

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

Jul 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13.1909s&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 7, pp. 1909-1930 (1996).

Mathematics

Logic

Scientific paper

We perform the Painlevé 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 Painlevé sense: the model studied does not pass the perturbative Painlevé 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.

Affiliated with

Also associated with

No associations

Rating

Painlevé singularity analysis of the Brans - Dicke Bianchi type-IX vacuum cosmological model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Painlevé singularity analysis of the Brans - Dicke Bianchi type-IX vacuum cosmological model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Painlevé singularity analysis of the Brans - Dicke Bianchi type-IX vacuum cosmological model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1117093