A remarkably simple theory of 3d massive gravity
arXiv:1812.01018 · doi:10.1007/JHEP04(2019)091
Abstract
We propose and study a new action for three-dimensional massive gravity. This action takes a very simple form when written in terms of connection and triad variables, but the connection can also be integrated out to obtain a triad formulation. The quadratic action for the perturbations around a Minkowski background reproduces the action of self-dual massive gravity, in agreement with the expectation that the theory propagates a massive graviton. We confirm this result at the non-linear level with a Hamiltonian analysis, and show that this new theory does indeed possess a single massive degree of freedom. The action depends on four coupling constants, and we identify the various massive and topological (or massless) limits in the space of parameters. This richness, along with the simplicity of the action, opens a very interesting new window onto massive gravity.
arXiv comment20+9 pages
References in corpus (23)
- Resummation of Massive Gravity
- Generalization of the Fierz-Pauli Action
- Massive Gravity
- Theoretical Aspects of Massive Gravity
- Massive Gravity in Three Dimensions
- Bimetric Gravity from Ghost-free Massive Gravity
- Chern-Simons Modified General Relativity
- f(T) Gravity and local Lorentz invariance
- Chiral Gravity in Three Dimensions
- Interacting Spin-2 Fields
- Good and bad tetrads in f(T) gravity
- Recent developments in bimetric theory
- Topologically Massive Gravity and the AdS/CFT Correspondence
- Holography with Gravitational Chern-Simons Term
- Beyond Lovelock gravity: Higher derivative metric theories
- Edge modes and corner ambiguities in 3d Chern-Simons theory and gravity
- Minimal Massive 3D Gravity
- Lorentz-diffeomorphism edge modes in 3d gravity
- Zwei-Dreibein Gravity
- Chern-Simons-like Gravity Theories
- The Third Way to 3D Gravity
- On Partially Massless Theory in 3 Dimensions
- Soft hairy warped black hole entropy
Cited by in corpus (6)
- Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
- Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
- Exotic massive 3D gravities from truncation
- On asymptotic charges in 3D gravity
- Metric formulation of the simple theory of 3d massive gravity
- Bi-gravity with a single graviton