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arXiv · 1304.0238

Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity

Mikhail S. Volkov
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Abstract

We present a survey of the known cosmological and black hole solutions in ghost-free bigravity and massive gravity theories. These can be divided into three classes. First, there are solutions with proportional metrics, which are the same as in General Relativity with a cosmological term, which can be positive, negative or zero. Secondly, for spherically symmetric systems, there are solutions with non-bidiagonal metrics. The g-metric fulfills Einstein equations with a positive cosmological term and a matter source, while the f-metric is anti-de Sitter. The third class contains solutions with bidiagonal metrics, and these can be quite complex. The time-dependent solutions describe homogeneous (isotropic or anisotropic) cosmologies which show a late-time self-acceleration or other types of behavior. The static solutions describe black holes with a massive graviton hair, and also globally regular lumps of energy. None of these are asymptotically flat. Including a matter source gives rise to asymptotically flat solutions which exhibit the Vainshtein mechanism of recovery of General Relativity in a finite region.

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Mikhail S. Volkov. 2013-11-06. Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity. https://doi.org/10.1088/0264-9381%2F30%2F18%2F184009

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