  A new class of higher-dimensional exact solutions of Einstein's vacuum
equation is presented. These metrics are written in terms of the exponential of
a symmetric matrix and when this matrix is diagonal the solution reduces to
higher-dimensional generalizations of Kasner spacetime with a cosmological
constant. On the other hand, the metrics attained when such matrix is
non-diagonal have more intricate algebraic structures. Such solutions have not
been presented in the literature yet.
