On Lorentz-invariant bi-spin-2 theories

Abstract

We investigate a Lorentz invariant action which 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 3-dimensional rotation-invariance of Minkowski spacetime and classify theories with seven 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.

arXiv comment21 pages

References in corpus (15)

• Resummation of Massive Gravity
• Generalization of the Fierz-Pauli Action
• Bimetric Gravity from Ghost-free Massive Gravity
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Open FRW universes and self-acceleration from nonlinear massive gravity
• Cosmological perturbations of self-accelerating universe in nonlinear massive gravity
• Ghost-Free Derivative Interactions for a Massive Graviton
• New Kinetic Interactions for Massive Gravity?
• Generalized Galileon Duality
• Derivative interactions in de Rham-Gabadadze-Tolley massive gravity
• Massive gravity with non-minimal coupling
• Stable Cosmology in Generalised Massive Gravity
• Generalising the matter coupling in massive gravity: a search for new interactions
• On Lorentz-invariant spin-2 theories