Lk. Patel et N. Dadhich, INHOMOGENEOUS KASNER-TYPE CYLINDRICALLY SYMMETRICAL MODELS IN KALUZA-KLEIN SPACE-TIME, Journal of mathematical physics, 37(8), 1996, pp. 4034-4040
We consider a cylindrically symmetric metric separable in space and ti
me variables having Kasnerian time dependence in the Kaluza-Klein spac
e-time. We obtain perfect fluid models that admit the dimensional redu
ction yielding the usual four-dimensional space-time as the universe e
xpands. The models are inhomogeneous and they have the Kasnerian vacuu
m solution as their matter-free limit. The five-dimensional Kasnerian
vacuum solution goes over on dimensional reduction to the radiation Fr
iedman-Robertson-Walker flat model. (C) 1996 American Institute of Phy
sics.