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abstract
We explore the space of static solutions of the recently discovered three-dimensional `New Massive Gravity' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant $\lambda$. For $\lambda=-1$ we find black hole solutions asymptotic (but not isometric) to the unique (anti) de Sitter vacuum, including extremal black holes that interpolate between this vacuum and (a)dS$_2 \times S^1$. We also investigate unitarity of linearized NMG in (a)dS vacua. We find unitary theories for some dS vacua, but (bulk) unitarity in adS implies negative central charge of the dual CFT, except for $\lambda=3$ where the central charge vanishes and the bulk gravitons are replaced by `massive photons'. A similar phenomenon is found in the massless limit of NMG, for which the linearized equations become equivalent to Maxwell's equations.
Forward citations
Cited by 10 Pith papers
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Cosmological higher-curvature gravities
Higher-curvature gravities are constructed in which both FLRW backgrounds and linearized scalar perturbations obey at most second-order differential equations.
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Minimal Massive Gravity Coupled to Higher Spins
Minimal Massive Gravity is coupled to a finite sl(N) tower of higher-spin fields, giving a Stückelberg formulation, AdS2 x S1 hair solutions, and two massive modes (spin j and j-2) for each spin-j > 2 field.
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Chern-Simons-like formulation of 3D MMG-like massive gravity models
The simplest MMG-like third-way gravity model has unavoidable ghosts/tachyons, and at a chiral degenerate point its mass operator forms a rank-3 Jordan block, suggesting an ultra-logarithmic dual CFT.
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Charged Taub-NUT type Black Holes in Einstein-Weyl-Maxwell Theory
Charged Taub-NUT black holes in Einstein-Weyl-Maxwell theory are numerically built and show three disconnected solution branches, unlike their intersecting neutral counterparts.
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Gauge Symmetries, Exact Symmetries and Conserved Charges in Minimal Massive Gravity
Minimal Massive Gravity has three gauge symmetries, and a newly constructed transformation generates exact symmetries and a conserved charge in a restricted parameter limit.
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Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
Near-horizon extremal BTZ black holes in NMG and TMG carry two Virasoro algebras whose central charges equal their spatial-infinity values.
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Logarithmic corrections to the entropy of near-extremal black holes in New Massive Gravity
One-loop partition function from boundary graviton zero modes in the near-horizon AdS2 x S1 geometry produces logarithmic corrections to the semiclassical entropy of near-extremal black holes in New Massive Gravity.
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On Charged Black Holes in Einstein-Weyl-Maxwell Theory
In Einstein-Weyl-Maxwell gravity, adding charge splits the neutral black hole branches into a non-RN family and an RN-like family, and the RN-like near-extremal limit has charge-to-mass ratio below 1.
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Thermodynamic Stability and Fluctuations of the (2+1)-dimensional GMG Warped Black Hole
Thermodynamic instability and fluctuation analysis of the GMG warped black hole, including exact on-shell angular momentum trajectories and thermodynamic lengths for isentropic/isoenergetic processes.
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Note on WAdS$_3$ black holes in extended BHT gravity
Using Wald's formalism and the thermodynamics method, the paper computes conserved charges and dual CFT central charges for WAdS3 black holes in NMG and ENMG, finding results consistent with earlier work.
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