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We consider AdS3 and warped AdS3 vacua in new massive gravity and study thehighest weight modes and general propagating modes as a set of solutions forthe linearized equations of motion. We observed that depending on the choice ofgauge there are two types of solutions. We show that for warped AdS3 vacuum,the massless modes which appear only in the harmonic gauge have zero energydensity and do not get higher curvature corrections. By computing the energydensity it can be shown that all massive modes have negative energy density.Our computations prove that the massive modes in warped AdS3 cannot be excludedby an appropriate boundary condition and this makes the theory unstable.

Stability of vacua in New Massive Gravity in different gauges