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Stability of the Self-accelerating Universe in Massive Gravity

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arxiv 1305.4950 v2 pith:4ADEL73K submitted 2013-05-21 hep-th astro-ph.COgr-qc

Nima Khosravi (AIMS , Cape Town) , Gustavo Niz (ICG , Portsmouth , Guanajuato U.) , Kazuya Koyama (ICG , Portsmouth) , Gianmassimo Tasinato (ICG This is my paper
classification hep-thastro-ph.COgr-qc
keywords scalarperturbationssolutionschoicecoordinatefindgravitylinear
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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.

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