摘要

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 kappa with Skyrme coupling K, in the absence of the cosmological term, there are three possible regimes: recollapse with kappa K < 2 and two power-law regimes, alpha t(1/2) for kappa K = 2 and alpha t for kappa K > 2. 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 Lambda-term is sufficiently large, otherwise the regime remains recollapse. The negative cosmological term leads to the recollapse regardless of kappa K. All nonsingular regimes have the squashing coefficient a(t) -> 1 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.

  • 出版日期2016-8-24