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Stability of the Self-accelerating Universe in Massive Gravity

We study linear perturbations around time dependent spherically symmetric solutions in the Lambda_3 massive gravity theory, which self-accelerate in the vacuum. We find that the dynamics of the scalar perturbations depend on the coordinate choice for the background solutions. For particular choices of coordinates there is a symmetry enhancement, leaving no propagating scalar degrees of freedom at linear order in perturbations. In contrast, any other coordinate 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.

preprint2013arXivOpen access
Nima KhosraviGustavo NizKazuya KoyamaGianmassimo Tasinato
astro-ph.COgr-qchep-th
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Nima KhosraviGustavo NizKazuya KoyamaGianmassimo Tasinato

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