Abstract
Generically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of massive gravity have been shown to be ghost-free. These theories are formulated with respect to a flat, non-dynamical reference metric. In this work we show that it is possible to give dynamics to the reference metric in such a way that the consistency of the theory is maintained. The result is a non-linear bimetric theory of a massless spin-2 field interacting with a massive spin-2 field that is free of the Boulware-Deser ghost. To our knowledge, this is the first construction of such a ghost-free bimetric theory.
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ArXiv ePrint: 1109.3515
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Hassan, S.F., Rosen, R.A. Bimetric gravity from ghost-free massive gravity. J. High Energ. Phys. 2012, 126 (2012). https://doi.org/10.1007/JHEP02(2012)126
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DOI: https://doi.org/10.1007/JHEP02(2012)126