  AdS3 vacua of topologically massive gravity (TMG) have been shown to be
perturbatively unstable for all values of the coupling constant except the
chiral point \mu l=1. We study the possibility that the warped vacua of TMG,
which exist for all values of \mu, are stable under linearized perturbations.
In this paper, we show that spacelike warped AdS3 vacua with Compere-Detournay
boundary conditions are indeed stable in the range \mu l > 3. This is precisely
the range in which black hole solutions arise as discrete identifications of
the warped AdS3 vacuum. The situation somewhat resembles chiral gravity:
although negative energy modes do exist, they are all excluded by the boundary
conditions, and the perturbative spectrum solely consists of boundary (pure
large gauge) gravitons.
