  We study the generalized massive gravity in three dimensional flat spacetime.
A massive logarithmic mode is propagating in the flat spacetime at the critical
point where two masses degenerate. Furthermore, we discuss the logarithmic
extension of the Galilean conformal algebra (GCA) which may arise from the
exotic and standard rank-2 logarithmic conformal field theory (LCFT) on the
boundary of AdS3 spacetime.
