Strong coupling scales in minimal massive gravity
Abstract
Ghostfree massive gravity models generically have a strong coupling scale of Λ_{3}=(M_{Pl}m^{2})^{1 /3} . However, for one of these models—minimal massive gravity—it is not clear what this scale is in the subset of solutions with vanishing vector modes, since there are then no interactions at the scale Λ_{3}. We show that there are always scalartensor interactions at a scale arbitrarily close to Λ_{3} around the Minkowski vacuum solution. This explicitly confirms and completes previous research establishing that Λ_{3} effectively is the maximal strong coupling scale for all ghostfree (de Rham, Gabadadze, Tolley) massive gravity models (on Minkowski). In the process, we also revisit and clarify the construction of generic Lorentzinvariant massive gravity models, explicitly constructing an improved nonredundant expansion for these models.
 Publication:

Physical Review D
 Pub Date:
 November 2015
 DOI:
 10.1103/PhysRevD.92.104001
 arXiv:
 arXiv:1412.4780
 Bibcode:
 2015PhRvD..92j4001B
 Keywords:

 04.50.Kd;
 Modified theories of gravity;
 High Energy Physics  Theory;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 19 pages