On-shell versus off-shell equivalence in 3D gravity

Bergshoeff, E. A., Merbis, W. & Townsend, P. K., 9-May-2019, In : Classical and Quantum Gravity. 36, 9, 15 p., 095013.

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  • On-shell versus off-shell equivalence in 3D gravity

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A given field theory action determines a set of field equations but other actions may yield equivalent field equations; if so they are on-shell equivalent. They may also be off-shell equivalent, being related by the elimination of auxiliary fields or by local field redefinitions, but this is not guaranteed, as we demonstrate by consideration of the linearized limit of 3D massive gravity models. Failure to appreciate this subtlety has led to incorrect conclusions in recent studies of the 'minimal massive gravity' model.

Original languageEnglish
Article number095013
Number of pages15
JournalClassical and Quantum Gravity
Issue number9
Publication statusPublished - 9-May-2019


  • massive gravity, three-dimensional gravity, asymptotic charges

ID: 118519520