Abstract
We perform an analysis of the Einstein-Skyrme cosmological model in the Bianchi-IX background. We analytically describe asymptotic regimes and semianalytically describe generic regimes. It appears that depending on the product of the Newtonian constant with Skyrme coupling , in the absence of the cosmological term, there are three possible regimes: recollapse with and two power-law regimes, for and for . In the presence of the positive cosmological term, power-law regimes turn to the exponential (de Sitter) ones, while the recollapse regime turns to the exponential if the value for the -term is sufficiently large, otherwise the regime remains recollapse. The negative cosmological term leads to the recollapse regardless of . All nonsingular regimes have the squashing coefficient at late times, which is associated with restoring symmetry dynamics. Also all nonsingular regimes appear to be linearly stable exponential solutions always, while power-law regimes for an open region of the initial conditions.
- Received 5 July 2016
DOI:https://doi.org/10.1103/PhysRevD.94.044046
© 2016 American Physical Society