Analytic solutions in nonlinear 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 nonlinear 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 (rgm2)1/3, where m is the graviton mass and rg is the Schwarzschild radius of a matter source. Another branch of exact solutions exists, corresponding to de Sitter–Schwarzschild spacetimes where the curvature scale of de Sitter space is proportional to the mass squared of the graviton.
Original languageEnglish
Pages (from-to)131101
Number of pages1
JournalPhysical Review Letters
Volume107
Issue number13
DOIs
Publication statusPublished - 23 Sep 2011

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