Canonical structure of topologically massive gravity with a cosmological constant

Abstract

We study the canonical structure of three-dimensional topologically massive gravity with a cosmological constant, using the full power of Dirac's method for constrained Hamiltonian systems. It is found that the dimension of the physical phase space is two per spacetime point, which corresponds to a single Lagrangian degree of freedom. The analysis of the AdS asymptotic region reveals a remarkable relation to 3D gravity with torsion: in the limit of vanishing torsion, the conserved charges and asymptotic symmetries of the two theories become identical.

LATEX, 19 pages, v2: Extended version of v1

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Cited by in corpus (50)

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• Bending AdS Waves with New Massive Gravity
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
• On the Generalized Massive Gravity in $Ad{S}_3$
• AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
• Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector
• Holographic Renormalization of New Massive Gravity
• On the Hamiltonian form of 3D massive gravity
• Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
• Dynamical structure of Pure Lovelock gravity
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• Asymptotically warped anti-de Sitter spacetimes in topologically massive gravity
• Extended massive gravity in three dimensions
• Holography in 3D AdS gravity with torsion
• Warped Black Holes in Lower-Spin Gravity
• Hamiltonian analysis of BHT massive gravity
• Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms
• More on Asymptotically Anti-de Sitter Spaces in Topologically Massive Gravity
• On Born-Infeld Gravity in Three Dimensions
• Complexity of warped conformal field theory
• Warped-AdS3 black holes with scalar halo
• Gravity duals for logarithmic conformal field theories
• Conserved charges in 3D gravity
• Topologically massive gravity on AdS${}_2$ spacetimes
• Quasi-Normal Modes of Extremal BTZ Black Holes in TMG
• 2+1 Quantum Gravity with Barbero-Immirzi like parameter on Toric Spatial Foliation
• On the Faddeev-Jackiw Symplectic Framework for Topologically Massive Gravity
• The Hamiltonian Form of Topologically Massive Supergravity
• Hamiltonian formalism of Minimal Massive Gravity
• The Brown-York mass of black holes in Warped Anti-de Sitter space
• Poincaré gauge symmetries, hamiltonian symmetries and trivial gauge transformations
• Constraint structure of the three dimensional massive gravity
• Dirac's and Generalized Faddeev-Jackiw brackets for Einstein's theory in G $\to 0$ limit
• Thermodynamic Stability of the Stationary Lifshitz Black Hole of New Massive Gravity
• Gauge symmetry and constraints structure in topologically massive AdS gravity: A symplectic viewpoint
• Poincare gauge theory from higher derivative matter lagrangean
• Hamiltonian analysis of symmetries in a massive theory of gravity
• Exact solutions in 3D gravity with torsion
• Nonpropagation of massive mode on AdS2 in topologically massive gravity
• Topologically Massive Gravity from the Outside In
• Asymptotic Chern-Simons formulation of spacelike stretched AdS gravity
• Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework
• Faddeev-Jackiw Hamiltonian formulation for general exotic bi-gravity
• Near horizon symmetry of extremal spacelike-stretched black holes
• Hamiltonian structure of three-dimensional gravity in Vielbein formalism
• Effects of curvature and gravity from flat spacetime