Vainshtein mechanism in Generalised Massive Gravity

Emir Gumrukcuoglu, Rampei Kimura, Michael Kenna-Allison, Kazuya Koyama

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We present a non-linear analysis of perturbations around cosmological solutions in Generalised Massive gravity. This Lorentz invariant theory is an extension of de Rham, Gabadadze, Tolley massive gravity that propagates 5 degrees of freedom while allowing stable open FLRW cosmologies. For a minimal model that supports a self-accelerating background, we study the dynamics of non-linear perturbations. We find that the equation for the scalar graviton is distinct from the analogues in Horndeski and DHOST theories. We numerically solve the equation to find a new type of nonlinear solution for the scalar mode, and confirm the presence of a Vainshtein screening mechanism. We show that the PPN parameter approaches its GR value at solar system scales and satisfies the current bounds.
Original languageEnglish
Article number023
Number of pages26
JournalJournal of Cosmology and Astroparticle Physics
Issue number09
Publication statusPublished - 16 Sept 2021


  • UKRI
  • STFC
  • ST/S000550/1


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