  In this note we study the properties of linearized gravitational excitations
in the new massive gravity theory in asymptotically $AdS_3$ spacetime and find
that there is also a critical point for the mass parameter at which massive
gravitons become massless as in topological massive gravity in $AdS_3$.
However, at this critical point in the new massive gravity the energy of all
branches of highest weight gravitons vanish and the central charges also vanish
within the Brown-Henneaux boundary conditions. The new massive gravity in
asymptotically $AdS_3$ spacetime seems to be trivial at this critical point
under the Brown-Henneaux boundary conditions if the Brown-Henneaux boundary
conditions can be consistent with this theory. At this point, the boundary
conditions of log gravity may be preferred.
