New Cosmological Solutions in Massive Gravity

Abstract

We find new, simple cosmological solutions with flat, open, and closed spatial geometries, contrary to the previous wisdom that only the open model is allowed. The metric and the Stückelberg fields are given explicitly, showing nontrivial configurations of the Stückelberg in the usual Friedmann-Lemaître-Robertson-Walker coordinates. The solutions exhibit self-acceleration, while being free from ghost instabilities. Our solutions can accommodate inhomogeneous dust collapse represented by the Lemaître-Tolman-Bondi metric as well. Thus, our results can be used not only to describe homogeneous and isotropic cosmology but also to study gravitational collapse in massive gravity.

5 pages

References in corpus (4)

• Resummation of Massive Gravity
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• Generalized Lemaitre-Tolman-Bondi Solutions with Pressure
• Generalized Painlevé-Gullstrand metrics

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• Dark matter in ghost-free bigravity theory: From a galaxy scale to the universe
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