Analytic solutions in non-linear massive gravity

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.

5 pages, 1 figure, version accepted by PRL

References in corpus (5)

• Resummation of Massive Gravity
• Cosmic Acceleration and the Helicity-0 Graviton
• DGP Specteroscopy
• The recovery of General Relativity in massive gravity via the Vainshtein mechanism
• Galilean-invariant scalar fields can strengthen gravitational lensing

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