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The Ogievetsky-Polubarinov massive gravity and the benign Boulware-Deser mode

Abstract : We present our analysis of the theory constructed in 1965 by Ogievetsky and Polubarinov (OP)— the first ever theory of interacting massive gravitons. Its mass term is adjusted in such a way that the non-linear field equations imply as a consequence the linear Hilbert-Lorentz condition, which restricts the spin of states in the theory. Strikingly, for special parameter values this theory coincides with one of the "ghost-free" massive gravity models rediscovered only in 2010. For generic parameter values, however, it propagates 6 degrees of freedom and shows ghost around flat space. Surprizingly, we find that the de Sitter space remains stable for a large region of the parameter space, provided that the Hubble expansion rate is large enough, hence the Boulware-Deser mode is benign in this case. We study also other solutions and find that the Milne universe— a sector of Minkowski space—is stable in the UV limit. This presumably implies that at the non-linear level the ghost instability in flat space develops only for long waves, similarly to the classical Jeans instability.
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Submitted on : Tuesday, August 28, 2018 - 10:13:55 AM
Last modification on : Tuesday, January 11, 2022 - 5:56:06 PM

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Shinji Mukohyama, Mikhail S. Volkov. The Ogievetsky-Polubarinov massive gravity and the benign Boulware-Deser mode. JCAP, 2018, 10, pp.037. ⟨10.1088/1475-7516/2018/10/037⟩. ⟨hal-01863068⟩

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