論文

査読有り
2018年10月

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

Journal of Cosmology and Astroparticle Physics
  • Shinji Mukohyama
  • ,
  • Mikhail S. Volkov

1810
開始ページ
037
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/1475-7516/2018/10/037

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.

リンク情報
DOI
https://doi.org/10.1088/1475-7516/2018/10/037
URL
https://arxiv.org/abs/1808.04292
ID情報
  • DOI : 10.1088/1475-7516/2018/10/037

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