  We show that all algebraic Type-O, Type-N and Type-D and some Kundt-Type
solutions of Topologically Massive Gravity are inherited by its holographically
well-defined deformation, that is the recently found Minimal Massive Gravity.
This construction provides a large class of constant scalar curvature solutions
to the theory. We also study the consistency of the field equations both in the
source-free and matter-coupled cases. Since the field equations of MMG do not
come from a Lagrangian that depends on the metric and its derivatives only, it
lacks the Bianchi identity valid for all non-singular metrics. But it turns out
that for the solutions of the equations, Bianchi identity is satisfied. This is
a necessary condition for the consistency of the classical field equations but
not a sufficient one, since the the rank-two tensor equations are susceptible
to double-divergence. We show that for the source-free case the
double-divergence of the field equations vanish for the solutions. In the
matter-coupled case, we show that the double-divergence of the left-hand side
and the right-hand side are equal to each other for the solutions of the
theory. This construction completes the proof of the the consistency of the
field equations.
