U. Bleyer et A. Zhuk, KASNER-LIKE, INFLATIONARY AND STEADY-STATE SOLUTIONS IN MULTIDIMENSIONAL COSMOLOGY, Astronomische Nachrichten, 317(3), 1996, pp. 161-173
Multi-dimensional cosmological models with n(n > 1) Ricci-flat spaces
and a scalar field are discussed classically and with respect to canon
ical quantization. These models are integrable. Two classes of solutio
ns are obtained. One class of solutions generalizes the Kasner solutio
ns. For special additional conditions we find another solution describ
ing extended inflation connected with a constant volume of the whole m
ultidimensional space (steady-state).