Canonical Structure of Higher Derivative Gravity in 3D

Abstract

We give an explicitly gauge invariant canonical analysis of linearized quadratic gravity theories in three dimensions for both flat and de-Sitter backgrounds. In flat backgrounds, we also study the effects of gravitational Chern-Simons term, and include the sources, compute the weak field limit as well as scattering between spinning massive particles.

14 pages, references added, version to appear in PRD

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Cited by in corpus (38)

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• Unitarity analysis of general Born-Infeld gravity theories
• All unitary cubic curvature gravities in D dimensions
• A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D
• Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
• BRST symmetry and $W$-algebra in higher derivative models
• Classical stability of BTZ black hole in new massive gravity
• Some exact solutions of all f(Ricci) theories in three dimensions
• Minimal Massive Gravity: Conserved Charges, Excitations and the Chiral Gravity Limit
• Particle Content of Quadratic and $f(R_{\mu \nu \sigma \rho })$ Theories in $(A)dS$
• Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions
• Unitarity versus Renormalizability of Higher Derivative Gravity in 3D
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
• Causality in 3D Massive Gravity Theories
• Born-Infeld Gravity with a Massless Graviton in Four Dimensions
• BTZ gems inside regular Born-Infeld black holes
• Unitarity Problems in 3$D$ Gravity Theories
• Spin-Spin Interactions in Massive Gravity and Higher Derivative Gravity Theories
• Unitarity of Weyl-Invariant New Massive Gravity and Generation of Graviton Mass via Symmetry Breaking
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Entropy in Born-Infeld Gravity
• Renormalization of Higher Derivative Quantum Gravity Coupled to a Scalar with Shift Symmetry
• Finite BRST Mapping in Higher Derivative Models
• Weyl-invariant Higher Curvature Gravity Theories in n Dimensions and Mass Generation by Symmetry Breaking
• Treating Ostrogradski instability for Gallilean invariant Chern Simon's model via \mathcal{PT} symmetry
• Hyperbolic Metamaterials and Massive Klein-Gordon Equation in 2+1 Dimensional de Sitter Spacetime
• Removal of instabilities of the higher derivative theories in the light of antilinearity
• Anomalous Dispersion in Gravity Theories
• Born-Infeld Gravity Revisited
• Solutions with pure radiation and gyratons in 3D massive gravity theories
• Massive Higher Derivative Gravity Theories
• Brief Note on Thurston Geometries in 3D Quadratic Curvature Theories
• Effects of curvature and gravity from flat spacetime
• Interpreting gravitational fields of Topologically Massive Gravity using geodesic deviation
• A New Geometric Flow on 3-Manifolds: the $K$-Flow
• Aspects of three-dimensional higher-curvature gravities