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

References in corpus (7)

• Massive Gravity in Three Dimensions
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Ghost-free, finite, fourth order D=3 (alas) gravity
• Warped AdS_3 black holes in new massive gravity
• Note on New Massive Gravity in $Ad{S}_3$
• Renormalizability of Massive Gravity in Three Dimensions
• Canonical structure of topologically massive gravity with a cosmological constant

Cited by in corpus (4)

• Quasi Normal Modes for New Type Black Holes in New Massive Gravity
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• Extra gauge symmetries in BHT gravity
• Constraint structure of the three dimensional massive gravity