A 3D linearized gravity action with an added Chern-Simons-like tensor term yields a massive graviton pole, a good massless limit, and a single massive degree of freedom, according to the propagator and constraint analysis.
Topologically Massive Gauge Theories,
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Quasi-topological mass generation for 3D linearized gravity
A 3D linearized gravity action with an added Chern-Simons-like tensor term yields a massive graviton pole, a good massless limit, and a single massive degree of freedom, according to the propagator and constraint analysis.