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Topologically massive gravity as a Pais-Uhlenbeck oscillator

Ozgur Sarioglu·Bayram Tekin
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Abstract

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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Ozgur Sarioglu, Bayram Tekin. 2006-11-06. Topologically massive gravity as a Pais-Uhlenbeck oscillator. https://doi.org/10.1088/0264-9381%2F23%2F24%2F023

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