Interactions of multiple spin-2 fields beyond pairwise couplings

Abstract

Thus far, all known ghost-free interactions of multiple spin-2 fields have involved at most pairwise couplings of the fields, which are direct generalizations of bimetric interactions. Here we present a class of spin-2 theories with genuine multi-field interactions, and explicitly demonstrate the absence of ghost instabilities. The construction involves integrating out a nondynamical field in a theory of spin-2 fields with only pairwise ghost-free interactions. The new multi-vierbein interactions generated are not always expressible in terms of the associated metrics.

arXiv comment5 pages, structure modified and discussion extended

References in corpus (21)

• Resummation of Massive Gravity
• Bimetric Gravity from Ghost-free Massive Gravity
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Ghost-free Massive Gravity with a General Reference Metric
• On Non-Linear Actions for Massive Gravity
• Interacting Spin-2 Fields
• Recent developments in bimetric theory
• A note on "symmetric" vielbeins in bimetric, massive, perturbative and non perturbative gravities
• Covariant constraints in ghost free massive gravity
• The coupling to matter in Massive, Bi- and Multi-Gravity
• Particular Solutions in Bimetric Theory and Their Implications
• Vielbein to the Rescue?
• When is Multimetric Gravity Ghost-free?
• On the local structure of spacetime in ghost-free bimetric theory and massive gravity
• A Note on Ghost-Free Matter Couplings in Massive Gravity and Multi-Gravity
• Linear spin-2 fields in most general backgrounds
• Cycles of interactions in multi-gravity theories
• Analysis of constraints and their algebra in bimetric theory
• Interacting spin-2 fields in three dimensions
• Structures in multiple spin-2 interactions
• Ghost-free completion of an effective matter coupling in bimetric theory

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• Gauge generator for bi-gravity and multi-gravity models
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• Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity