Analytic solutions in non-linear massive gravity

Details Analytic solutions in non-linear massive gravity Analytic solutions in non-linear massive gravity

2011-03-24

arxiv.org/abs/1103.4708v2

Phys.Rev.Lett. 107 (2011) 131101

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure, version accepted by PRL

Scientific paper

10.1103/PhysRevLett.107.131101

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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