Stability of the self-accelerating universe in massive gravity

Journal Article · Thu Aug 01 00:00:00 EDT 2013 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2013/08/044· OSTI ID:22282736

Khosravi, Nima ^[1]; Niz, Gustavo; Koyama, Kazuya; Tasinato, Gianmassimo ^[2]

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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)

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.

• OSTI ID: 22282736
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 08; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COSMOLOGY
DEGREES OF FREEDOM
GRAVITATION
HAMILTONIANS
MATHEMATICAL SOLUTIONS
METRICS
PERTURBATION THEORY
SCALARS
SPHERICAL CONFIGURATION
SYMMETRY
TIME DEPENDENCE
UNIVERSE