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Massive Gravity in Three Dimensions
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abstract
A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model, which also includes `topologically-massive' gravity as a special case, propagates the two spin 2 helicity states with different masses. We discuss the extension to massive ${\cal N}$-extended supergravity, and we present a `cosmological' extension that admits an anti-de Sitter vacuum.
Forward citations
Cited by 11 Pith papers
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Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics
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Cosmological higher-curvature gravities
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Minimal Massive Gravity Coupled to Higher Spins
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Scalarization of Charged Black Hole in Gauss-Bonnet Extended Starobinsky-Maxwell Gravity
In Gauss-Bonnet-extended Starobinsky gravity, scalarized black holes form two smoothly joined branches at fixed coupling; adding a Maxwell field can split the family into disconnected branches, and the first law is ch...
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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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Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
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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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Coupling constants promoted to conserved charges make the Smarr formula work for black holes in NMG, Horndeski, MTZ, and higher-curvature gravity.
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Note on WAdS$_3$ black holes in extended BHT gravity
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