On the Hamiltonian form of 3D massive gravity

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.

Note:

25 pages, minor corrections plus extended discussion in v2

11.15.Yc
04.20.Fy
04.60.Rt
04.60.Kz
gravitation: massive
dimension: 3
stability: linear
mass: topological
spin: 2
Hamiltonian formalism

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Figures(0)

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