Hamiltonian analysis of BHT massive gravity

Abstract

We study the Hamiltonian structure of the Bergshoeff-Hohm-Townsend (BHT) massive gravity with a cosmological constant. In the space of coupling constants $({\Lambda }_0,m^2)$, our canonical analysis reveals the special role of the condition ${\Lambda }_0/m^2\ne -1$. In this sector, the dimension of the physical phase space is found to be $N^{\ast }=4$, which corresponds to two Lagrangian degree of freedom. When applied to the AdS asymptotic region, the canonical approach yields the conserved charges of the BTZ black hole, and central charges of the asymptotic symmetry algebra.

LATEX, 21 pages; v2: minor corrections

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• Holograms of Conformal Chern-Simons Gravity
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• On Partially Massless Theory in 3 Dimensions
• Extra gauge symmetries in BHT gravity
• 3D gravity with propagating torsion: the AdS sector
• Logarithmic AdS Waves and Zwei-Dreibein Gravity
• Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity
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• The Hamiltonian Form of Topologically Massive Supergravity
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• Constraint structure of the three dimensional massive gravity
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