On Lorentz-invariant bispin-2 theories

Rampei Kimura, Atsushi Naruko, Daisuke Yamauchi

Research output: Contribution to journalArticlepeer-review


We investigate a Lorentz invariant action that is quadratic in two rank-2 symmetric tensor fields in Minkowski spacetime. We apply a scalar-vector-tensor decomposition to two tensor fields by virtue of three-dimensional rotation invariance of Minkowski spacetime and classify theories with 7 degrees of freedom based on the Hamiltonian analysis. We find two new theories, which cannot be mapped from the linearized Hassan-Rosen bigravity. In these theories, the new mass interactions can be allowed thanks to the transverse diffeomorphism invariance of action.

Original languageEnglish
Article number044021
JournalPhysical Review D
Issue number4
Publication statusPublished - 2021 Aug 15

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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