Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 11, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2012/11/035
Keywords
modified gravity; gravity; cosmological perturbation theory
Funding
- DOE [DE-FG02-12ER41810]
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In de Sitter spacetime there exists an absolute minimum for the mass of a spin-2 field set by the Higuchi bound m(2) >= 2H(2). We generalize this bound to arbitrary spatially flat FRW geometries in the context of the recently proposed ghost-free models of Massive Gravity with an FRW reference metric, by performing a Hamiltonian analysis for cosmological perturbations. We find that the bound generically indicates that spatially flat FRW solutions in FRW massive gravity, which exhibit a Vainshtein mechanism in the background as required by consistency with observations, imply that the helicity zero mode is a ghost. In contradistinction to previous works, the tension between the Higuchi bound and the Vainshtein mechanism is equally strong regardless of the equation of state for matter.
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