On consistent kinetic and derivative interactions for gravitons

Johannes Noller

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The only known fully ghost-free and consistent Lorentz-invariant kinetic term for a graviton (or indeed for any spin-2 field) is the Einstein-Hilbert term. Here we propose and investigate a new candidate family of kinetic interactions and their extensions to derivative interactions involving several spin-2 fields. These new terms generically break diffeomorphism invariance(s) and as a result can lead to the propagation of 5 degrees of freedom for a single spin-2 field—analogous to ghost-free Massive Gravity. We discuss under what circumstances these new terms can be used to build healthy effective field theories and in the process establish the `Jordan' and `Einstein' frame pictures for Massive-, Bi- and Multi-Gravity.
Original languageEnglish
Article number025
Pages (from-to)1-26
Number of pages26
JournalJournal of Cosmology and Astroparticle Physics
Issue number04
Publication statusPublished - 17 Apr 2015


  • modified gravity
  • gravity
  • dark energy theory
  • RCUK
  • STFC


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