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Multi‐graviton theories: yes‐go and no‐go results.
Author(s) -
Boulanger Nicolas
Publication year - 2002
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/1521-3978(200209)50:8/9<858::aid-prop858>3.0.co;2-7
Subject(s) - graviton , massless particle , theoretical physics , physics , bounded function , massive gravity , gravitation , mathematical physics , quantum mechanics , mathematics , mathematical analysis
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 linearizedWeyl 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.