期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 7, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP07(2012)047
关键词
Classical Theories of Gravity; Differential and Algebraic Geometry
资金
- NASA [NNX10AH14G]
- US Department of Energy [DE-FG02-11ER41743]
- NASA ATP Grant [NNX08AH27G]
- University of Pennsylvania
- NASA [100924, NNX08AH27G] Funding Source: Federal RePORTER
We construct consistent theories of multiple interacting spin-2 fields in arbitrary spacetime dimensions using a vielbein formulation. We show that these theories have the additional primary constraints needed to eliminate potential ghosts, to all orders in the fields, and to all orders beyond any decoupling limit. We postulate that the number of spin-2 fields interacting at a single vertex is limited by the number of spacetime dimensions. We then show that, for the case of two spin-2 fields, the vielbein theory is equivalent to the recently proposed theories of ghost-free massive gravity and bi-metric gravity. The vielbein formulation greatly simplifies the proof that these theories have an extra primary constraint which eliminates the Boulware-Deser ghost.
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