  Taking the flat-space limit (zero cosmological constant limit) of the
Rindler-AdS spacetime yields the Rindler metric. According to the proposal of
Flat/contracted-CFT correspondence, the flat-space limit on the bulk side of
asymptotically AdS spacetimes corresponds to the contraction of the conformal
field theory on the boundary. We use this proposal for the Rindler-AdS/CFT
correspondence and propose a dual theory for the Rindler spacetime, which is a
contracted conformal field theory (CCFT). We show that the two-dimensional CCFT
symmetries exactly predict the same two-point functions that one may find by
taking the flat-space limit of three-dimensional Rindler-AdS holographic
results. Using the Flat/CCFT proposal, we also calculate the three-dimensional
Rindler energy-momentum tensor. Since the near horizon geometry of non-extreme
black holes has a Rindler part, we note that it is plausible to find a dual
CCFT at the horizon of non-extreme black holes. By using our energy-momentum
tensor, we find the correct mass of non-rotating BTZ and show that the
Cardy-like formula for CCFT yields the Bekenstein-Hawking entropy of
non-extreme BTZ. Our current work is the first step towards describing the
entropy of non-extreme black holes in terms of CCFTs microstates which live on
the horizon.
