Article Dans Une Revue Physical Review D Année : 2011

Nonlinear Fierz-Pauli theory from torsion and bigravity

Résumé

The nonlinear aspects of a recently proposed model of massive spin-2 particles with propagating torsion are studied. We obtain a nonlinear equation which reduces at linear order to a generalized Fierz-Pauli equation in any background space-time with or without a vanishing torsion. We contrast those results with properties of a class of bigravity theories in an arbitrary background Einstein manifold. It is known that the nonperturbative spectrum of the bigravity model has 8 propagating physical degrees of freedom. This is identical to the physical propagating degrees of freedom of the massive spin-2 torsion model at the linearized order. The obtained nonlinear version of the Fierz-Pauli field equations, however, contains terms absent in the bigravity case which indicates that the curved space generalization of the unique flat space Fierz-Pauli equation is not unique. Moreover, in the torsion massive gravity model the Fierz-Pauli field appears as a derivative of fundamental fields. This, however, does not generate any unwanted pole once coupled to some external sources.

Dates et versions

hal-03743085 , version 1 (02-08-2022)

Identifiants

Citer

Cédric Deffayet, S. Randjbar-Daemi. Nonlinear Fierz-Pauli theory from torsion and bigravity. Physical Review D, 2011, 84, pp.44053. ⟨10.1103/PhysRevD.84.044053⟩. ⟨hal-03743085⟩
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