On massive gravitons in 2+1 dimensions

Abstract

The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive gravity" (NMG), with an action that involves curvature-squared terms. Another is 3D "bigravity", which involves non-linear couplings of the FP tensor field to 3D Einstein-Hilbert gravity. We review the proof of the linearized equivalence of both "massive 3D gravity" theories to FP theory, and we comment on their similarities and differences.

6 pages, to appear in the proceedings of the Spanish Relativity Meeting ERE2009, Bilbao; minor changes, reference added

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• Quantum Gravity at a Lifshitz Point
• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Ghost-free, finite, fourth order D=3 (alas) gravity
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• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• On Maximal Massive 3D Supergravity
• Holographic phase space: $c$-functions and black holes as renormalization group flows
• On Critical Massive (Super)Gravity in adS3
• Holographic Renormalization and Stress Tensors in New Massive Gravity
• Dirac Quasinormal Modes of New Type Black Holes in New Massive Gravity
• Gravity and the spin-2 planar Schroedinger equation
• Gravitons in Flatland
• Polycritical Gravities
• Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor
• Motion and trajectories of photons in a three-dimensional rotating Hořava AdS black hole
• Some interesting features of new massive gravity
• Nonlocal Massive Gravity from Einstein Gravity
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• AdS/BCFT Correspondence for Higher Curvature Gravity: An Example
• Born-Infeld Type Extension of (Non-)Critical Gravity
• Hamiltonian analysis of symmetries in a massive theory of gravity
• On Effective Potential in Tortoise Coordinate
• Some properties of the de Sitter black holes in three dimensional spacetime
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect