Physics
Scientific paper
Jan 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jpha...29...59d&link_type=abstract
Journal of Physics A: Mathematical and General, Volume 29, Issue 1, pp. 59-76 (1996).
Physics
8
Scientific paper
We perform the Painlevé test (i.e. the Kowalevskaya - Gambier test or the perturbative test) for the perfect fluid Bianchi type-IX relativistic cosmological model, in order to predict some probable chaotic regimes. This technique enables us to detect every single-valued particular solution associated with a given relativistic dynamical system. Several physically interesting cases are studied. These include radiation-dominated and matter-dominated universes, the case of a cosmological constant and the case of the so-called stiff-matter. In all cases but the cosmological constant case, the models studied do not pass the Painlevé test, exhibit infinitely many movable logarithms and are therefore probably chaotic. Moreover, we show that some physically interesting single-valued particular solutions present in the vacuum case cannot subsist for a perfect fluid cosmological model. In particular, in the radiation and dust cases, we show that there cannot exist any exact and closed-form axisymmetric solution.
Demaret Jacques
Scheen Christian
No associations
LandOfFree
Painlevé singularity analysis of the perfect fluid Bianchi type-IX relativistic 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 perfect fluid Bianchi type-IX relativistic 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 perfect fluid Bianchi type-IX relativistic cosmological model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-971983