  We consider cosmological and black hole solutions in the Einstein and
higher-derivative gravity in two dimensions where the theory is formulated
first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous
singular rescaling of the scalar curvature coupling constant as $1/(D-2)$, we
get the novel Einstein and higher-derivative gravity. Due to non-trivial
contribution of scalar curvature which is topological invariant in exactly two
dimensions to gravitational equations in the two-dimensional limit one gets
novel cosmological and black hole solutions.In particular, the de Sitter and
radiation-dominated universe and the Schwarzschild-de Sitter and
Schwarzschild-anti-de Sitter black hole solutions are obtained and their
properties are discussed.
