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arXiv · 0901.1766

Massive Gravity in Three Dimensions

Eric A. Bergshoeff·Olaf Hohm·Paul K. Townsend
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Abstract

A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model, which also includes `topologically-massive' gravity as a special case, propagates the two spin 2 helicity states with different masses. We discuss the extension to massive ${\cal N}$-extended supergravity, and we present a `cosmological' extension that admits an anti-de Sitter vacuum.

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Eric A. Bergshoeff, Olaf Hohm, Paul K. Townsend. 2009-05-05. Massive Gravity in Three Dimensions. https://doi.org/10.1103/physrevlett.102.201301

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