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Multi-graviton theories : yes-go and no-go results

Nicolas Boulanger
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Abstract

We report yes-go and no-go results on consistent cross-couplings for a collection of gravitons. Motivated by the search of theories where multiplets of massless spin-two fields cross-interact, we look for all the consistent deformations of a positive sum of Pauli-Fierz actions. We also investigate the problem of deforming a (positive and negative) sum of linearized Weyl gravity actions and show explicitly that there exists multi-Weyl-graviton theories. As the single-graviton Weyl theory, these theories do not have an energy bounded from below.

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Nicolas Boulanger. 2001-11-23. Multi-graviton theories : yes-go and no-go results. https://doi.org/10.1002/1521-3978(200209)50%3A8%2F9%3C858%3A%3Aaid-prop858%3E3.0.co%3B2-7

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