skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Cosmological perturbations in massive gravity and the Higuchi bound

Abstract

In de Sitter spacetime there exists an absolute minimum for the mass of a spin-2 field set by the Higuchi bound m{sup 2} ≥ 2H{sup 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.

Authors:
;  [1]
  1. Department of Physics, Case Western Reserve University, 10900 Euclid Ave, Cleveland, OH 44106 (United States)
Publication Date:
OSTI Identifier:
22279820
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2012; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL MODELS; COSMOLOGY; DISTURBANCES; EQUATIONS OF STATE; GEOMETRY; GRAVITATION; HAMILTONIANS; HELICITY; MATHEMATICAL SOLUTIONS; METRICS; PERTURBATION THEORY; REST MASS; SPIN

Citation Formats

Fasiello, Matteo, and Tolley, Andrew J., E-mail: matte@case.edu, E-mail: andrew.j.tolley@case.edu. Cosmological perturbations in massive gravity and the Higuchi bound. United States: N. p., 2012. Web. doi:10.1088/1475-7516/2012/11/035.
Fasiello, Matteo, & Tolley, Andrew J., E-mail: matte@case.edu, E-mail: andrew.j.tolley@case.edu. Cosmological perturbations in massive gravity and the Higuchi bound. United States. doi:10.1088/1475-7516/2012/11/035.
Fasiello, Matteo, and Tolley, Andrew J., E-mail: matte@case.edu, E-mail: andrew.j.tolley@case.edu. Thu . "Cosmological perturbations in massive gravity and the Higuchi bound". United States. doi:10.1088/1475-7516/2012/11/035.
@article{osti_22279820,
title = {Cosmological perturbations in massive gravity and the Higuchi bound},
author = {Fasiello, Matteo and Tolley, Andrew J., E-mail: matte@case.edu, E-mail: andrew.j.tolley@case.edu},
abstractNote = {In de Sitter spacetime there exists an absolute minimum for the mass of a spin-2 field set by the Higuchi bound m{sup 2} ≥ 2H{sup 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.},
doi = {10.1088/1475-7516/2012/11/035},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 11,
volume = 2012,
place = {United States},
year = {2012},
month = {11}
}