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Title: Stability of the self-accelerating universe in massive gravity

We study linear perturbations around time dependent spherically symmetric solutions in the Λ{sub 3} massive gravity theory, which self-accelerate in the vacuum. We find that the dynamics of the scalar perturbations depend on the choice of the fiducial metric for the background solutions. For particular choice of fiducial metric there is a symmetry enhancement, leaving no propagating scalar degrees of freedom at linear order in perturbations. In contrast, any other choice propagates a single scalar mode. We find that the Hamiltonian of this scalar mode is unbounded from below for all self-accelerating solutions, signalling an instability.
Authors:
 [1] ; ; ;  [2]
  1. Cosmology Group, African Institute for Mathematical Sciences, Muizenberg, 7945 (South Africa)
  2. Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth, PO1 3FX (United Kingdom)
Publication Date:
OSTI Identifier:
22282736
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2013; Journal Issue: 08; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGY; DEGREES OF FREEDOM; GRAVITATION; HAMILTONIANS; MATHEMATICAL SOLUTIONS; METRICS; PERTURBATION THEORY; SCALARS; SPHERICAL CONFIGURATION; SYMMETRY; TIME DEPENDENCE; UNIVERSE