Stability of vacua in New Massive Gravity in different gauges
arXiv:1212.6876 · doi:10.1007/JHEP08(2013)095
Abstract
We consider AdS3 and warped AdS3 vacua in new massive gravity and study the highest weight modes and general propagating modes as a set of solutions for the linearized equations of motion. We observed that depending on the choice of gauge 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 energy density and do not get higher curvature corrections. By computing the energy density it can be shown that all massive modes have negative energy density. Our computations prove that the massive modes in warped AdS3 cannot be excluded by an appropriate boundary condition and this makes the theory unstable.
30 pages, 10 figures. v3: Improved version. To appear in JHEP
References in corpus (16)
- Massive Gravity in Three Dimensions
- Warped AdS_3 Black Holes
- More on Massive 3D Gravity
- Topologically Massive Gravity and the AdS/CFT Correspondence
- Semi-classical central charge in topologically massive gravity
- Measurement of the charm fragmentation function in D* photoproduction at HERA
- Warped AdS_3 black holes in new massive gravity
- Born-Infeld extension of new massive gravity
- Note on New Massive Gravity in
- New massive gravity, extended
- c-functions in the Born-Infeld extended New Massive Gravity
- Stability of warped AdS3 vacua of topologically massive gravity
- A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D
- Charged Black Holes in New Massive Gravity
- On asymptotically AdS-like solutions of three dimensional massive gravity
- On Born-Infeld Gravity in Three Dimensions
Cited by in corpus (6)
- Massive Gravity
- Conserved Charges in Extended Theories of Gravity
- Thermodynamic and classical instability of AdS black holes in fourth-order gravity
- Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes
- Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
- Instability of BTZ black holes in parity-even massive gravity