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arXiv · 1103.4708

Analytic solutions in non-linear massive gravity

Kazuya Koyama·Gustavo Niz·Gianmassimo Tasinato
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Abstract

We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of the Fierz-Pauli theory. There is a branch of solutions that exhibits the Vainshtein mechanism, recovering General Relativity below a Vainshtein radius given by $(r_g m^2)^{1/3}$, where $m$ is the graviton mass and $r_g$ is the Schwarzschild radius of a matter source. Another branch of exact solutions exists, corresponding to Schwarzschild-de Sitter spacetimes where the curvature scale of de Sitter space is proportional to the mass squared of the graviton.

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Kazuya Koyama, Gustavo Niz, Gianmassimo Tasinato. 2011-08-25. Analytic solutions in non-linear massive gravity. https://doi.org/10.1103/physrevlett.107.131101

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