Topologically massive gravity as a Pais-Uhlenbeck oscillator
classification
🌀 gr-qc
hep-th
keywords
massivefreegravitylinearizedoscillatorpais-uhlenbecktheorytopologically
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We give a detailed account of the free field spectrum and the Newtonian limit of the linearized "massive" (Pauli-Fierz), "topologically massive" (Einstein-Hilbert-Chern-Simons) gravity in 2+1 dimensions about a Minkowski spacetime. For a certain ratio of the parameters, the linearized free theory is Jordan-diagonalizable and reduces to a degenerate "Pais-Uhlenbeck" oscillator which, despite being a higher derivative theory, is ghost-free.
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