On the Hamiltonian form of 3D massive gravity

Abstract

We present a "Chern-Simons-like" action for the "general massive gravity" model propagating two spin-2 modes with independent masses in three spacetime dimensions (3D), and we use it to find a simple Hamiltonian form of this model. The number of local degrees of freedom, determined by the dimension of the physical phase space, agrees with a linearized analysis except in some limits, in particular that yielding "new topologically massive gravity", which therefore suffers from a linearization instability.

25 pages, minor corrections plus extended discussion in v2

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• More on Massive 3D Gravity
• Interacting Spin-2 Fields
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Cited by in corpus (38)

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• Chern-Simons-like Gravity Theories
• Conserved Charges in Extended Theories of Gravity
• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Minimal Massive 3D Gravity Unitarity Redux
• On Partially Massless Theory in 3 Dimensions
• Canonical bifurcation in higher derivative, higher spin, theories
• On asymptotic charges in 3D gravity
• Logarithmic AdS Waves and Zwei-Dreibein Gravity
• Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity
• General formulas for conserved charges and black hole entropy in Chern-Simons-like theories of gravity
• Smarr formula for BTZ black holes in general three-dimensional gravity models
• The Holographic c-theorem and Infinite-dimensional Lie Algebras
• 3D gravity with propagating torsion: Hamiltonian structure of the scalar sector
• Novel nonlinear kinetic terms for gravitons
• The Hamiltonian Form of Topologically Massive Supergravity
• Metric formulation of the simple theory of 3d massive gravity
• Vaidya-like exact solutions with torsion
• On-shell versus Off-shell Equivalence in 3D Gravity
• The mass formula for an exotic BTZ black hole
• Canonical structure of BHT massive gravity in warped AdS3 sector
• Central charges from Thermodynamics method in 3D gravity
• A Review of Third Way Consistent Theories
• Partially massless theory in three dimensions and self-dual massive gravity
• Chern-Simons-Like Formulation of Exotic Massive 3D Gravity Models
• Faddeev-Jackiw Hamiltonian formulation for general exotic bi-gravity
• Unitarity Flow in 2+1 Dimensional Massive Gravity
• Hamiltonian structure of three-dimensional gravity in Vielbein formalism
• First Law of Inner Mechanics of Black Holes in Generalized Minimal Massive Gravity
• Nonlinear realisation approach to topologically massive supergravity
• (2+1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
• A massive graviton in topologically new massive gravity
• Aspects of three-dimensional higher-curvature gravities