Extending applicability of bimetric theory: chameleon bigravity

  • Antonio De Felice
  • Shinji Mukohyama
  • Jean-Philippe Uzan


This article extends bimetric formulations of massive gravity to make the mass of the graviton to depend on its environment. This minimal extension offers a novel way to reconcile massive gravity with local tests of general relativity without invoking the Vainshtein mechanism. On cosmological scales, it is argued that the model is stable and that it circumvents the Higuchi bound, hence relaxing the constraints on the parameter space. Moreover, with this extension the strong coupling scale is also environmentally dependent in such a way that it is kept sufficiently higher than the expansion rate all the way up to the very early universe, while the present graviton mass is low enough to be phenomenologically interesting. In this sense the extended bigravity theory serves as a partial UV completion of the standard bigravity theory. This extension is very generic and robust and a simple specific example is described.


Bimetric theory Dark energy Massive gravity 



The authors thank Michele Oliosi and Yota Watanabe for useful comments. SM thanks warm hospitality at IAP, where this work was initiated during his stay. JPU thanks YITP for hospitality. ADF was supported by JSPS KAKENHI Grant Numbers 16K05348, 16H01099. The work of SM was supported by Japan Society for the Promotion of Science (JSPS) Grants-in-Aid for Scientific Research (KAKENHI) Nos. 24540256, 17H02890, 17H06359, 17H06357, and by World Premier International Research Center Initiative (WPI), MEXT, Japan. The work of JPU is made in the ILP LABEX (under reference ANR-10-LABX-63) was supported by French state funds managed by the ANR within the Investissements d’Avenir programme under reference ANR-11-IDEX-0004-02.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Antonio De Felice
    • 1
  • Shinji Mukohyama
    • 1
    • 2
  • Jean-Philippe Uzan
    • 3
    • 4
  1. 1.Center for Gravitational Physics, Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan
  2. 2.Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced StudyThe University of TokyoKashiwaJapan
  3. 3.Institut d’Astrophysique de Paris, CNRS UMR 7095Université Pierre and Marie Curie - Paris VIParisFrance
  4. 4.Institut Lagrange de ParisSorbonne UniversitésParisFrance

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