Massive Spin-2 fields of Geometric Origin in Curved Spacetimes

Abstract

We study the consistency of a model which includes torsion as well as the metric as dynamical fields and has massive spin-2 particle in its spectrum. The massive spin-2 mode resides in the torsion, rather than in the metric. It is known that this model is tachyon- and ghost-free in Minkowski background. We show that this property remains valid and no other pathologies emerge in de Sitter and anti-de Sitter backgrounds, with some of our results extending to arbirary Einstein space backgrounds. This suggests that the model is consistent, at least at the classical level, unlike, e.g., the Fierz--Pauli theory.

17 pages, Clarifying remarks added in section 5, minor changes, version to be published in the Phys. Rev. D

References in corpus (7)

• Infrared-modified gravities and massive gravitons
• The Higgs Phenomenon in Quantum Gravity
• Lorentz-violating graviton masses: getting around ghosts, low strong coupling scale and VDVZ discontinuity
• Spontaneous Lorentz Breaking and Massive Gravity
• Infrared Modified Gravity with Dynamical Torsion
• Superluminality in the Fierz--Pauli massive gravity
• Constraining Gravitational and Cosmological Parameters with Astrophysical Data

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