Extended massive gravity in three dimensions

Abstract

Using a first order Chern-Simons-like formulation of gravity we systematically construct higher-derivative extensions of general relativity in three dimensions. The construction ensures that the resulting higher-derivative gravity theories are free of scalar ghosts. We canonically analyze these theories and construct the gauge generators and the boundary central charges. The models we construct are all consistent with a holographic c-theorem which, however, does not imply that they are unitary. We find that Born-Infeld gravity in three dimensions is contained within these models as a subclass.

35p, v2; minor changes, references added

References in corpus (26)

• The Black Hole in Three Dimensional Space Time
• Massive Gravity in Three Dimensions
• Bimetric Gravity from Ghost-free Massive Gravity
• Holographic c-theorems in arbitrary dimensions
• Chiral Gravity in Three Dimensions
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Interacting Spin-2 Fields
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• Instability in cosmological topologically massive gravity at the chiral point
• Flat-Space Chiral Gravity
• On the new massive gravity and AdS/CFT
• Born-Infeld extension of new massive gravity
• Minimal Massive 3D Gravity
• AdS_3/LCFT_2 - Correlators in New Massive Gravity
• The Constraint Algebra of Topologically Massive AdS Gravity
• Zwei-Dreibein Gravity
• Massive Gravity Theories and limits of Ghost-free Bigravity models
• Canonical structure of topologically massive gravity with a cosmological constant
• Nonlinear Dynamics of 3D Massive Gravity
• New Massive Gravity and AdS_4 counterterms
• Flat/AdS boundary conditions in three dimensional conformal gravity
• Short-cut to new anomalies in gravity duals to logarithmic conformal field theories
• Hamiltonian analysis of BHT massive gravity
• On Critical Massive (Super)Gravity in adS3
• Logarithmic AdS Waves and Zwei-Dreibein Gravity

Cited by in corpus (26)

• Exotic Massive 3D Gravity
• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
• Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
• Interacting spin-2 fields in three dimensions
• Exotic massive 3D gravities from truncation
• On asymptotic charges in 3D gravity
• Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes
• Soft hairy warped black hole entropy
• New Improved Massive Gravity and Three Dimensional Spacetimes of Constant Curvature and Constant Torsion
• The Holographic c-theorem and Infinite-dimensional Lie Algebras
• Interactions of Charged Spin-2 Fields
• Nonlocal Massive Gravity from Einstein Gravity
• Warped $Ad{S}_3$ black hole in minimal massive gravity with first order formalism
• Holographic Renormalization of 3D Minimal Massive Gravity
• Circularly symmetric solutions of Minimal Massive Gravity at its merger point
• Central charges from Thermodynamics method in 3D gravity
• A Review of Third Way Consistent Theories
• Matter coupling in Minimal Massive 3D Gravity and spinor-matter interactions in exterior algebra formalism
• Faddeev-Jackiw Hamiltonian formulation for general exotic bi-gravity
• Chern-Simons-Like Formulation of Exotic Massive 3D Gravity Models
• Instability of BTZ black holes in parity-even massive gravity
• Hamiltonian structure of three-dimensional gravity in Vielbein formalism
• Aspects of three-dimensional higher-curvature gravities
• Unitarity and Different Phases of the Extended New Massive Gravity
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory