Dynamical system analysis of EinsteinSkyrme model in a KantowskiSachs spacetime
Abstract
The present work deals with anisotropic (but zero heat flux) Skyrme fluid with a constant radial profile in locally rotational KantowskiSachs spacetime in the background of Einstein gravity. By suitably change of variables the field equations are transformed to an autonomous system. To examine the stability of the system critical points are determined. For hyperbolic critical points the analysis of the system is done using HartmanGrobman theorem, while center manifold theory is used to analyze nonhyperbolic critical points. Also stability at infinity is analyzed to visualize the global evolution of the Universe. As a result the 3Dphase space is identified with the Poincaré 3sphere embedded in R^{4}. It is found that the parameters in the autonomous system play a crucial role for phase transition of the Universe. Finally possible bifurcation scenarios are discussed to identify the point of phase transition.
 Publication:

Annals of Physics
 Pub Date:
 July 2019
 DOI:
 10.1016/j.aop.2019.04.006
 arXiv:
 arXiv:1812.01975
 Bibcode:
 2019AnPhy.406..207M
 Keywords:

 EinsteinSkyrme model;
 Critical point;
 Stability;
 Center manifold theory;
 Bifurcation;
 Physics  General Physics
 EPrint:
 6 pages, 5 figures