Physical Review D
We solve the five dimensional vacuum Einstein equations for several kinds of anisotropic geometries. We consider metrics in which the spatial slices are characterized as Bianchi types II and V, and the scale factors are dependent both on time and a noncompact fifth coordinate. We examine the behavior of the solutions we find, exploring them within the context of the induced matter model.
“Exact Solutions of Five Dimensional Anisotropic Cosmologies,” P. Halpern, Physical Review D66, 027503 (2002).