  The absorption cross section for the the warped AdS$_3$ black hole background
shows that it is larger than the area even if the s-wave limit is considered.
It raises some question whether the deviation from the areal cross section is
due to the warped configuration of the geometry or the rotating coordinate
system, where these two effects are mixed up in the warped AdS$_3$ black hole.
So, we study the low-frequency scattering dynamics of propagating scalar fields
under the warped AdS$_3$ background at the critical point which reduces to the
BTZ black hole in the rotating frame without the warped factor, which shows
that the deformation effect at the critical point does not appear.
