  We consider the Lovelock theory of gravity that assumes a nonlinearity of the
field equations in the second-order derivatives of the metric. We prove the
opportunity of obtaining cosmological solutions without isotropization in the
presence of matter in the form of a perfect fluid, which is necessary for
invisibility of extra dimensions that inevitably emerge in the Lovelock theory.
In particular, the Jacobs solution has been generalized to an arbitrary order
of the theory, and in the third order, an anisotropic exponential solution has
been found.
