Friedmann Dynamics Recovered from Compactified Einstein–Gauss–Bonnet Cosmology

Abstract

Cosmological dynamics is studied in Einstein–Gauss–Bonnet gravity with a perfect fluid source in arbitrary dimension. A systematic analysis is performed for the case that the theory does not admit maximally symmetric solutions. Considering two independent scale factors, namely, one for the 3D space and one for the extra-dimensional space, it is found that a regime exists where the scale factor of extra dimensions tends to a constant value via damped oscillations for not too negative pressure of the fluid, so that asymptotically the evolution of the (3 + 1)-dimensional Friedmann model with perfect fluid is recovered.