Topologically massive gravity as a Pais-Uhlenbeck oscillator

Details Topologically massive gravity as a Pais-Uhlenbeck oscillator Topologically massive gravity as a Pais-Uhlenbeck oscillator

2006-08-17

arxiv.org/abs/gr-qc/0608085v2

Class.Quant.Grav. 23 (2006) 7541-7550

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figures, RevTEX4; version 2: a new paragraph and a reference added to the Introduction, a new appendix added to re

Scientific paper

10.1088/0264-9381/23/24/023

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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