Topologically massive gravity as a Pais-Uhlenbeck oscillator
General Relativity and Quantum Cosmology
2009-11-11 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.gr-qc/0608085,
title = {Topologically massive gravity as a Pais-Uhlenbeck oscillator},
author = {Ozgur Sarioglu and Bayram Tekin},
journal= {arXiv preprint arXiv:gr-qc/0608085},
year = {2009}
}
Comments
9 pages, no figures, RevTEX4; version 2: a new paragraph and a reference added to the Introduction, a new appendix added to review Pais-Uhlenbeck oscillators; accepted for publication in Class. Quant. Grav