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On asymptotic charges in 3D gravity
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A variant of the ADT method for the determination of gravitational charges as integrals at infinity is applied to "Chern-Simons-like" theories of 3D gravity, and the result is used to find the mass and angular momentum of the BTZ black hole considered as a solution of a variety of massive 3D gravity field equations. The results agree with many obtained previously by other methods, including our own results for "Minimal Massive Gravity", but they disagree with others, including recently reported results for "Exotic Massive Gravity". We also find the central charges of the asymptotic conformal symmetry algebra for the generic 3D gravity model with AdS vacuum and discuss implications for black hole thermodynamics.
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Cited by 3 Pith papers
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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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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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