Anisotropic generalization of Randall and Sundrum brane-world model is cons
idered. A new class of exact solutions for brane and bulk geometry is found
; it is related to anisotropic Kasner solution. In view of this, the old qu
estion of isotropy of initial conditions in cosmology rises once again in t
he brane-world context. (C) 2001 Elsevier Science B.V. All rights reserved.