  We find constant scalar curvature Type-N and Type-D solutions in all higher
curvature gravity theories with actions of the form f(Ricci) that are built on
the Ricci tensor, but not on its derivatives. In our construction, these higher
derivative theories inherit some of the previously studied solutions of the
cosmological topologically massive gravity and the new massive gravity field
equations, once the parameters of the theories are adjusted. Besides the
generic higher curvature theory, we have considered in some detail the examples
of the quadratic curvature theory, the cubic curvature theory, and the
Born-Infeld extension of the new massive gravity.
