Some aspects of the cosmological dynamics in Einstein–Gauss–Bonnet gravity

We study some aspects of dynamical compactification scenario where stabilization extra dimensions occurs due to the presence Gauss–Bonnet term and nonzero spatial curvature. In framework model under consideration, there exists two-stages evolution a Universe: in first stage, space evolves from totally anisotropic state with three-dimensional (corresponding our “real” world) expanding [Formula: see text]-dimensional contracting isotropic subspaces; on second constant curvature begins play role provide dimensions. It is already known that such realizable when negative. Here we show range coupling constants for which exponential solutions subspaces are stable located zone positively curved unstable, so two-stage analogous one described above not realizable. Also “nearly-Friedmann” regime case arbitrary describe new parametrization general solution consideration elegant way describing areas existence over parameters space.