Summary
We present a second-order gravity action which consists of ordinary Einstein action augmented by a first-order, vectorlike, Chern-Simons quasitopological term. This theory is ghost-free and propagates a pure spin-2 mode. It is diffeomorphism invariant, although its local Lorentz invariance has been spontaneously broken.
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Aragone, C., Arias, P.J. & Khoudeir, A. Massive vector Chern-Simons gravity. Nuov Cim B 109, 303–308 (1994). https://doi.org/10.1007/BF02727291
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DOI: https://doi.org/10.1007/BF02727291