On Lorentz-invariant spin-2 theories

Atsushi Naruko, Rampei Kimura, Daisuke Yamauchi

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We construct Lorentz-invariant massless and massive spin-2 theories in flat spacetime. Starting from the most generic action of a rank-2 symmetric tensor field whose Lagrangian contains up to quadratic in first derivatives of a field, we investigate the possibility of new theories by using the Hamiltonian analysis. By imposing the degeneracy of the kinetic matrix and the existence of subsequent constraints, we classify theories based on the number of degrees of freedom and constraint structures and obtain a wider class of Fierz-Pauli theory as well as massless and partially massless theories, whose scalar and/or vector degrees of freedom are absent. We also discuss the relation between our theories and known massless and massive spin-2 theories.

Original languageEnglish
Article number084018
JournalPhysical Review D
Issue number8
Publication statusPublished - 2019 Apr 15
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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